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Simplifying (6x + -6)(6x + 6) = 0 Reorder the terms: (-6 + 6x)(6x + 6) = 0 Reorder the terms: (-6 + 6x)(6 + 6x) = 0 Multiply (-6 + 6x) * (6 + 6x) (-6(6 + 6x) + 6x * (6 + 6x)) = 0 ((6 * -6 + 6x * -6) + 6x * (6 + 6x)) = 0 ((-36 + -36x) + 6x * (6 + 6x)) = 0 (-36 + -36x + (6 * 6x + 6x * 6x)) = 0 (-36 + -36x + (36x + 36x2)) = 0 Combine like terms: -36x + 36x = 0 (-36 + 0 + 36x2) = 0 (-36 + 36x2) = 0 Solving -36 + 36x2 = 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 + 36x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 36x2 = 0 + 36 36x2 = 0 + 36 Combine like terms: 0 + 36 = 36 36x2 = 36 Divide each side by '36'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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