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Simplifying (x2) + -1(x + 2)(x + 2) = -3(x + -2) x2 + -1(x + 2)(x + 2) = -3(x + -2) Reorder the terms: x2 + -1(2 + x)(x + 2) = -3(x + -2) Reorder the terms: x2 + -1(2 + x)(2 + x) = -3(x + -2) Multiply (2 + x) * (2 + x) x2 + -1(2(2 + x) + x(2 + x)) = -3(x + -2) x2 + -1((2 * 2 + x * 2) + x(2 + x)) = -3(x + -2) x2 + -1((4 + 2x) + x(2 + x)) = -3(x + -2) x2 + -1(4 + 2x + (2 * x + x * x)) = -3(x + -2) x2 + -1(4 + 2x + (2x + x2)) = -3(x + -2) Combine like terms: 2x + 2x = 4x x2 + -1(4 + 4x + x2) = -3(x + -2) x2 + (4 * -1 + 4x * -1 + x2 * -1) = -3(x + -2) x2 + (-4 + -4x + -1x2) = -3(x + -2) Reorder the terms: -4 + -4x + x2 + -1x2 = -3(x + -2) Combine like terms: x2 + -1x2 = 0 -4 + -4x + 0 = -3(x + -2) -4 + -4x = -3(x + -2) Reorder the terms: -4 + -4x = -3(-2 + x) -4 + -4x = (-2 * -3 + x * -3) -4 + -4x = (6 + -3x) Solving -4 + -4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -4 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + -1x = 6 + 0 -4 + -1x = 6 Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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