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Simplifying (x + -2)(x + 2) = 60 Reorder the terms: (-2 + x)(x + 2) = 60 Reorder the terms: (-2 + x)(2 + x) = 60 Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x)) = 60 ((2 * -2 + x * -2) + x(2 + x)) = 60 ((-4 + -2x) + x(2 + x)) = 60 (-4 + -2x + (2 * x + x * x)) = 60 (-4 + -2x + (2x + x2)) = 60 Combine like terms: -2x + 2x = 0 (-4 + 0 + x2) = 60 (-4 + x2) = 60 Solving -4 + x2 = 60 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 + x2 = 60 + 4 Combine like terms: -4 + 4 = 0 0 + x2 = 60 + 4 x2 = 60 + 4 Combine like terms: 60 + 4 = 64 x2 = 64 Simplifying x2 = 64 Take the square root of each side: x = {-8, 8}
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