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Simplifying (x + 2)(x + -2) = 96 Reorder the terms: (2 + x)(x + -2) = 96 Reorder the terms: (2 + x)(-2 + x) = 96 Multiply (2 + x) * (-2 + x) (2(-2 + x) + x(-2 + x)) = 96 ((-2 * 2 + x * 2) + x(-2 + x)) = 96 ((-4 + 2x) + x(-2 + x)) = 96 (-4 + 2x + (-2 * x + x * x)) = 96 (-4 + 2x + (-2x + x2)) = 96 Combine like terms: 2x + -2x = 0 (-4 + 0 + x2) = 96 (-4 + x2) = 96 Solving -4 + x2 = 96 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 = 96 + 4 Combine like terms: -4 + 4 = 0 0 + x2 = 96 + 4 x2 = 96 + 4 Combine like terms: 96 + 4 = 100 x2 = 100 Simplifying x2 = 100 Take the square root of each side: x = {-10, 10}
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