(2x-2)(4x+2)(0.5)=0

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Solution for (2x-2)(4x+2)(0.5)=0 equation: 


Simplifying
(2x + -2)(4x + 2)(0.5) = 0

Reorder the terms:
(-2 + 2x)(4x + 2)(0.5) = 0

Reorder the terms:
(-2 + 2x)(2 + 4x)(0.5) = 0

Reorder the terms for easier multiplication:
0.5(-2 + 2x)(2 + 4x) = 0

Multiply (-2 + 2x) * (2 + 4x)
0.5(-2(2 + 4x) + 2x * (2 + 4x)) = 0
0.5((2 * -2 + 4x * -2) + 2x * (2 + 4x)) = 0
0.5((-4 + -8x) + 2x * (2 + 4x)) = 0
0.5(-4 + -8x + (2 * 2x + 4x * 2x)) = 0
0.5(-4 + -8x + (4x + 8x2)) = 0

Combine like terms: -8x + 4x = -4x
0.5(-4 + -4x + 8x2) = 0
(-4 * 0.5 + -4x * 0.5 + 8x2 * 0.5) = 0
(-2 + -2x + 4x2) = 0

Solving
-2 + -2x + 4x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.5, 1}

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