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