-5(1-5x+5)(-8x-2)=-4x-8x

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Solution for -5(1-5x+5)(-8x-2)=-4x-8x equation: 


Simplifying
-5(1 + -5x + 5)(-8x + -2) = -4x + -8x

Reorder the terms:
-5(1 + 5 + -5x)(-8x + -2) = -4x + -8x

Combine like terms: 1 + 5 = 6
-5(6 + -5x)(-8x + -2) = -4x + -8x

Reorder the terms:
-5(6 + -5x)(-2 + -8x) = -4x + -8x

Multiply (6 + -5x) * (-2 + -8x)
-5(6(-2 + -8x) + -5x * (-2 + -8x)) = -4x + -8x
-5((-2 * 6 + -8x * 6) + -5x * (-2 + -8x)) = -4x + -8x
-5((-12 + -48x) + -5x * (-2 + -8x)) = -4x + -8x
-5(-12 + -48x + (-2 * -5x + -8x * -5x)) = -4x + -8x
-5(-12 + -48x + (10x + 40x2)) = -4x + -8x

Combine like terms: -48x + 10x = -38x
-5(-12 + -38x + 40x2) = -4x + -8x
(-12 * -5 + -38x * -5 + 40x2 * -5) = -4x + -8x
(60 + 190x + -200x2) = -4x + -8x

Combine like terms: -4x + -8x = -12x
60 + 190x + -200x2 = -12x

Solving
60 + 190x + -200x2 = -12x

Solving for variable 'x'.

Reorder the terms:
60 + 190x + 12x + -200x2 = -12x + 12x

Combine like terms: 190x + 12x = 202x
60 + 202x + -200x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
60 + 202x + -200x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 101x + -100x2) = 0

Factor a trinomial.
2((5 + -4x)(6 + 25x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(6 + 25x)' equal to zero and attempt to solve:

Simplifying
6 + 25x = 0

Solving
6 + 25x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 25x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 25x = 0 + -6
25x = 0 + -6

Combine like terms: 0 + -6 = -6
25x = -6

Divide each side by '25'.
x = -0.24

Simplifying
x = -0.24
Solution
x = {1.25, -0.24}

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