6*(-2)*6+5*(-2)-3*6

{ "query": { "display": "$$6\\cdot\\:\\left(-2\\right)\\cdot\\:6+5\\cdot\\:\\left(-2\\right)-3\\cdot\\:6$$", "symbolab_question": "PEMDAS#6\\cdot (-2)\\cdot 6+5\\cdot (-2)-3\\cdot 6" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-100", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$6\\left(-2\\right)\\cdot\\:6+5\\left(-2\\right)-3\\cdot\\:6=-100$$", "input": "6\\left(-2\\right)\\cdot\\:6+5\\left(-2\\right)-3\\cdot\\:6", "steps": [ { "type": "step", "primary": "Follow the PEMDAS order of operations", "meta": { "title": { "extension": "P-Parentheses<br/>E-Exponents<br/>M-Multiply<br/>D-Divide<br/>A-Add<br/>S-Subtract" } } }, { "type": "interim", "title": "Multiply and divide (left to right) $$6\\left(-2\\right)\\cdot\\:6\\::{\\quad}-72$$", "input": "6\\left(-2\\right)\\cdot\\:6", "steps": [ { "type": "step", "primary": "Apply rule $$a\\cdot\\:\\left(-b\\right)\\:=\\:-a\\cdot\\:b$$", "secondary": [ "$$6\\left(-2\\right)=-6\\cdot\\:2=-12$$" ], "result": "=-12\\cdot\\:6" }, { "type": "step", "primary": "$$-12\\cdot\\:6=-72$$", "result": "=-72" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7Tbcpydr3NP0NCcSEeaA83af/nZmQNDp97LrvVVJI1ymNsV3+/FBy+4UV8UJXiqseLVczaPr0Cy7JhYsrhQsd8ZPrGD1fONx2ALIm7GClG2lwCuyiDMFZ9xChHxnKNQ0cBB9IE4mmc5bjFaxGzSYuu3UDPDwn00N5CIgZQZ/2w8LvbBmbuQNTF0TphKZ8RuvaiRo2sL15Z7RKAQfRyuooIb1K4MYfK4aMurLOjH3kHr7NY+doCq0HwDS9lx8tyK10bgk0dClf90R5GHY56NiKRQ==" } }, { "type": "step", "result": "=-72+5\\left(-2\\right)-3\\cdot\\:6" }, { "type": "interim", "title": "Multiply and divide (left to right) $$5\\left(-2\\right)\\::{\\quad}-10$$", "input": "5\\left(-2\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\cdot\\:\\left(-b\\right)\\:=\\:-a\\cdot\\:b$$", "secondary": [ "$$5\\left(-2\\right)=-5\\cdot\\:2=-10$$" ], "result": "=-10" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7cuaEKw+Wxaf/Z8iNAgehDEoTk/XI3F8/zv5QOPfhOYu95EI2JyU+2RT0qArNxlCqDhtxVOWNxB7smlzP/9HSXZNT6hxzP8AL9LHaUHUpzMRuATfc+PLc7BHjErOb12toIsOsBO5lEn49zdxmKdDohPC30sSftAIFS6Qkpy19IkqZYY9oS23eK9kho9PePsCLXhbADX2gvyKfNKNkOFNCS4rqZv+1gZJxoUf3LiyY6Lskt3WiGR7ZaCaXvz77bMjS" } }, { "type": "step", "result": "=-72-10-3\\cdot\\:6" }, { "type": "interim", "title": "Multiply and divide (left to right) $$3\\cdot\\:6\\::{\\quad}18$$", "input": "3\\cdot\\:6", "steps": [ { "type": "step", "primary": "$$3\\cdot\\:6=18$$", "result": "=18" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UIF0SRPGRmafM8tYVM4ZreHVdirAanWS9qiracmWDhnl/juDFhnak8wwDvzPP0tPkcdRb7rYIWxpgmNSJlE6yE1a/MZ83zb8O/sSedjDTYzAsAP0VXb1cmou9umEM1FXbKWNYQyURe7+S07AHINfwPC30sSftAIFS6Qkpy19IkqZYY9oS23eK9kho9PePsCLXhbADX2gvyKfNKNkOFNCS1K1QjaTa5OGsq/eLb15nL9MEKEgmnXhs+stUBJsSAcg" } }, { "type": "step", "result": "=-72-10-18" }, { "type": "interim", "title": "Add and subtract (left to right) $$-72-10-18\\::{\\quad}-100$$", "input": "-72-10-18", "steps": [ { "type": "step", "primary": "$$-72-10=-82$$", "result": "=-82-18" }, { "type": "step", "primary": "$$-82-18=-100$$", "result": "=-100" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=-100" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }