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

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


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

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

Multiply (2 + -4x) * (-5 + -5x)
(2(-5 + -5x) + -4x * (-5 + -5x)) = 0
((-5 * 2 + -5x * 2) + -4x * (-5 + -5x)) = 0
((-10 + -10x) + -4x * (-5 + -5x)) = 0
(-10 + -10x + (-5 * -4x + -5x * -4x)) = 0
(-10 + -10x + (20x + 20x2)) = 0

Combine like terms: -10x + 20x = 10x
(-10 + 10x + 20x2) = 0

Solving
-10 + 10x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-1 + x + 2x2) = 0

Factor a trinomial.
10((-1 + -1x)(1 + -2x)) = 0

Ignore the factor 10.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-1, 0.5}

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