(5x+2)(4x-8)=

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Solution for (5x+2)(4x-8)= equation: 


Simplifying
(5x + 2)(4x + -8) = 0

Reorder the terms:
(2 + 5x)(4x + -8) = 0

Reorder the terms:
(2 + 5x)(-8 + 4x) = 0

Multiply (2 + 5x) * (-8 + 4x)
(2(-8 + 4x) + 5x * (-8 + 4x)) = 0
((-8 * 2 + 4x * 2) + 5x * (-8 + 4x)) = 0
((-16 + 8x) + 5x * (-8 + 4x)) = 0
(-16 + 8x + (-8 * 5x + 4x * 5x)) = 0
(-16 + 8x + (-40x + 20x2)) = 0

Combine like terms: 8x + -40x = -32x
(-16 + -32x + 20x2) = 0

Solving
-16 + -32x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + -8x + 5x2) = 0

Factor a trinomial.
4((-2 + -5x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.4, 2}

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