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Simplifying
4(2x + -2)(2x + 2) = 0
Reorder the terms:
4(-2 + 2x)(2x + 2) = 0
Reorder the terms:
4(-2 + 2x)(2 + 2x) = 0
Multiply (-2 + 2x) * (2 + 2x)
4(-2(2 + 2x) + 2x * (2 + 2x)) = 0
4((2 * -2 + 2x * -2) + 2x * (2 + 2x)) = 0
4((-4 + -4x) + 2x * (2 + 2x)) = 0
4(-4 + -4x + (2 * 2x + 2x * 2x)) = 0
4(-4 + -4x + (4x + 4x2)) = 0
Combine like terms: -4x + 4x = 0
4(-4 + 0 + 4x2) = 0
4(-4 + 4x2) = 0
(-4 * 4 + 4x2 * 4) = 0
(-16 + 16x2) = 0
Solving
-16 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 16x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 16x2 = 0 + 16
16x2 = 0 + 16
Combine like terms: 0 + 16 = 16
16x2 = 16
Divide each side by '16'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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