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Simplifying (x + -6)(x + 6) = 0 Reorder the terms: (-6 + x)(x + 6) = 0 Reorder the terms: (-6 + x)(6 + x) = 0 Multiply (-6 + x) * (6 + x) (-6(6 + x) + x(6 + x)) = 0 ((6 * -6 + x * -6) + x(6 + x)) = 0 ((-36 + -6x) + x(6 + x)) = 0 (-36 + -6x + (6 * x + x * x)) = 0 (-36 + -6x + (6x + x2)) = 0 Combine like terms: -6x + 6x = 0 (-36 + 0 + x2) = 0 (-36 + x2) = 0 Solving -36 + x2 = 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 + x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x2 = 0 + 36 x2 = 0 + 36 Combine like terms: 0 + 36 = 36 x2 = 36 Simplifying x2 = 36 Take the square root of each side: x = {-6, 6}
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