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Simplifying (2x + 6)(2x + -6) = 0 Reorder the terms: (6 + 2x)(2x + -6) = 0 Reorder the terms: (6 + 2x)(-6 + 2x) = 0 Multiply (6 + 2x) * (-6 + 2x) (6(-6 + 2x) + 2x * (-6 + 2x)) = 0 ((-6 * 6 + 2x * 6) + 2x * (-6 + 2x)) = 0 ((-36 + 12x) + 2x * (-6 + 2x)) = 0 (-36 + 12x + (-6 * 2x + 2x * 2x)) = 0 (-36 + 12x + (-12x + 4x2)) = 0 Combine like terms: 12x + -12x = 0 (-36 + 0 + 4x2) = 0 (-36 + 4x2) = 0 Solving -36 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 4x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 4x2 = 0 + 36 4x2 = 0 + 36 Combine like terms: 0 + 36 = 36 4x2 = 36 Divide each side by '4'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3}
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