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Simplifying (x + 2)(x + 2) + -1(x + -2)(x + -2) = 0 Reorder the terms: (2 + x)(x + 2) + -1(x + -2)(x + -2) = 0 Reorder the terms: (2 + x)(2 + x) + -1(x + -2)(x + -2) = 0 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) + -1(x + -2)(x + -2) = 0 ((2 * 2 + x * 2) + x(2 + x)) + -1(x + -2)(x + -2) = 0 ((4 + 2x) + x(2 + x)) + -1(x + -2)(x + -2) = 0 (4 + 2x + (2 * x + x * x)) + -1(x + -2)(x + -2) = 0 (4 + 2x + (2x + x2)) + -1(x + -2)(x + -2) = 0 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) + -1(x + -2)(x + -2) = 0 Reorder the terms: 4 + 4x + x2 + -1(-2 + x)(x + -2) = 0 Reorder the terms: 4 + 4x + x2 + -1(-2 + x)(-2 + x) = 0 Multiply (-2 + x) * (-2 + x) 4 + 4x + x2 + -1(-2(-2 + x) + x(-2 + x)) = 0 4 + 4x + x2 + -1((-2 * -2 + x * -2) + x(-2 + x)) = 0 4 + 4x + x2 + -1((4 + -2x) + x(-2 + x)) = 0 4 + 4x + x2 + -1(4 + -2x + (-2 * x + x * x)) = 0 4 + 4x + x2 + -1(4 + -2x + (-2x + x2)) = 0 Combine like terms: -2x + -2x = -4x 4 + 4x + x2 + -1(4 + -4x + x2) = 0 4 + 4x + x2 + (4 * -1 + -4x * -1 + x2 * -1) = 0 4 + 4x + x2 + (-4 + 4x + -1x2) = 0 Reorder the terms: 4 + -4 + 4x + 4x + x2 + -1x2 = 0 Combine like terms: 4 + -4 = 0 0 + 4x + 4x + x2 + -1x2 = 0 4x + 4x + x2 + -1x2 = 0 Combine like terms: 4x + 4x = 8x 8x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 8x + 0 = 0 8x = 0 Solving 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8'. x = 0 Simplifying x = 0
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