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Simplifying (3x + 6)(3x + -6) = 0 Reorder the terms: (6 + 3x)(3x + -6) = 0 Reorder the terms: (6 + 3x)(-6 + 3x) = 0 Multiply (6 + 3x) * (-6 + 3x) (6(-6 + 3x) + 3x * (-6 + 3x)) = 0 ((-6 * 6 + 3x * 6) + 3x * (-6 + 3x)) = 0 ((-36 + 18x) + 3x * (-6 + 3x)) = 0 (-36 + 18x + (-6 * 3x + 3x * 3x)) = 0 (-36 + 18x + (-18x + 9x2)) = 0 Combine like terms: 18x + -18x = 0 (-36 + 0 + 9x2) = 0 (-36 + 9x2) = 0 Solving -36 + 9x2 = 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 + 9x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9x2 = 0 + 36 9x2 = 0 + 36 Combine like terms: 0 + 36 = 36 9x2 = 36 Divide each side by '9'. x2 = 4 Simplifying x2 = 4 Take the square root of each side: x = {-2, 2}
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