Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
Factor
Use the rational root theorem
The dividers of The dividers of
Therefore, check the following rational numbers:
is a root of the expression, so factor out
Divide
Divide the leading coefficients of the numerator
and the divisor
Multiply by Subtract from to get new remainder
Therefore
Divide
Divide the leading coefficients of the numerator
and the divisor
Multiply by Subtract from to get new remainder
Therefore
Divide
Divide the leading coefficients of the numerator
and the divisor
Multiply by Subtract from to get new remainder
Therefore
Factor
Break the expression into groups
Definition
Factors of
Divisors (Factors)
Find the Prime factors of
divides by
divides by
are all prime numbers, therefore no further factorization is possible
Multiply the prime factors of
Add the prime factors:
Add 1 and the number itself
The factors of
Negative factors of
Multiply the factors by to get the negative factors
For every two factors such that check if
Check FalseCheck True
Group into
Factor out from
Apply exponent rule:
Rewrite as
Factor out common term
Factor out from
Rewrite as
Factor out common term
Factor out common term
Using the Zero Factor Principle: If then or
Solve
Move to the right side
Subtract from both sides
Simplify
Solve
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Solve
Move to the right side
Add to both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
The solutions are
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
No Solution
Combine all the solutions
Popular Examples
(sin(θ))/(1.3)=(sin(125))/(2.8519)cot^2(θ)= 1/3solvefor x,y^3-sin^2(x)=1solve for -cos(2x)-4sin^2(x)+2=0sec(θ)-2cos(θ)=0
Frequently Asked Questions (FAQ)
What is the general solution for 4cos^3(x)-7cos(x)-3=0 ?
The general solution for 4cos^3(x)-7cos(x)-3=0 is x=pi+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin