(8x+5)(5x-8)=

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Solution for (8x+5)(5x-8)= equation: 


Simplifying
(8x + 5)(5x + -8) = 0

Reorder the terms:
(5 + 8x)(5x + -8) = 0

Reorder the terms:
(5 + 8x)(-8 + 5x) = 0

Multiply (5 + 8x) * (-8 + 5x)
(5(-8 + 5x) + 8x * (-8 + 5x)) = 0
((-8 * 5 + 5x * 5) + 8x * (-8 + 5x)) = 0
((-40 + 25x) + 8x * (-8 + 5x)) = 0
(-40 + 25x + (-8 * 8x + 5x * 8x)) = 0
(-40 + 25x + (-64x + 40x2)) = 0

Combine like terms: 25x + -64x = -39x
(-40 + -39x + 40x2) = 0

Solving
-40 + -39x + 40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -8x)(8 + -5x) = 0


Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve:

Simplifying
-5 + -8x = 0

Solving
-5 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -8x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 0 + 5
-8x = 0 + 5

Combine like terms: 0 + 5 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-0.625, 1.6}

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