What is the answer to (4-5x)(4x-5)=(10x-3)(7-2x) ?

The answer to (4-5x)(4x-5)=(10x-3)(7-2x) is x= 1/35

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(4-5x)(4x-5)=(10x-3)(7-2x)

(4 - 5 x) (4 x - 5) = (10 x - 3) (7 - 2 x)

x = \frac{1}{35}

Decimal Notation

x = 0.02857 \dots

Solution steps

(4 - 5 x) (4 x - 5) = (10 x - 3) (7 - 2 x)

Expand

(4 - 5 x) (4 x - 5) : - 20 x^{2} + 41 x - 20

Expand

(10 x - 3) (7 - 2 x) : - 20 x^{2} + 76 x - 21

- 20 x^{2} + 41 x - 20 = - 20 x^{2} + 76 x - 21

Move

20

to the right side

- 20 x^{2} + 41 x = - 20 x^{2} + 76 x - 1

Subtract

- 20 x^{2} + 76 x

from both sides

- 20 x^{2} + 41 x - (- 20 x^{2} + 76 x) = - 20 x^{2} + 76 x - 1 - (- 20 x^{2} + 76 x)

Simplify

- 35 x = - 1

Divide both sides by

- 35

x = \frac{1}{35}

2 x \cdot 3 x^{2}

\frac{8 b}{b ^{2} - 4 b + 4} + \frac{6}{b ^{2} - 1 b - 2}

0 = 2 x^{2} - 8 x + 9

2 + 14 a = - 8 + 9 a

What is the answer to (4-5x)(4x-5)=(10x-3)(7-2x) ?
The answer to (4-5x)(4x-5)=(10x-3)(7-2x) is x= 1/35
Solve for x: (4-5x)(4x-5)=(10x-3)(7-2x)
The solution is x= 1/35