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Simplifying (x + -3)(x + 3) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) Reorder the terms: (-3 + x)(x + 3) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) Reorder the terms: (-3 + x)(3 + x) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) ((3 * -3 + x * -3) + x(3 + x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) ((-9 + -3x) + x(3 + x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) (-9 + -3x + (3 * x + x * x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) (-9 + -3x + (3x + x2)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) (-9 + x2) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1) -9 + x2 + -1[(2 * -1 + -1x * -1) + 5] = 2 + x(x + 1) -9 + x2 + -1[(-2 + 1x) + 5] = 2 + x(x + 1) Reorder the terms: -9 + x2 + -1[-2 + 5 + 1x] = 2 + x(x + 1) Combine like terms: -2 + 5 = 3 -9 + x2 + -1[3 + 1x] = 2 + x(x + 1) -9 + x2 + [3 * -1 + 1x * -1] = 2 + x(x + 1) -9 + x2 + [-3 + -1x] = 2 + x(x + 1) Reorder the terms: -9 + -3 + -1x + x2 = 2 + x(x + 1) Combine like terms: -9 + -3 = -12 -12 + -1x + x2 = 2 + x(x + 1) Reorder the terms: -12 + -1x + x2 = 2 + x(1 + x) -12 + -1x + x2 = 2 + (1 * x + x * x) -12 + -1x + x2 = 2 + (1x + x2) Add '-1x2' to each side of the equation. -12 + -1x + x2 + -1x2 = 2 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + -1x + 0 = 2 + 1x + x2 + -1x2 -12 + -1x = 2 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + -1x = 2 + 1x + 0 -12 + -1x = 2 + 1x Solving -12 + -1x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -1x + -1x = 2 + 1x + -1x Combine like terms: -1x + -1x = -2x -12 + -2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + -2x = 2 + 0 -12 + -2x = 2 Add '12' to each side of the equation. -12 + 12 + -2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 2 + 12 -2x = 2 + 12 Combine like terms: 2 + 12 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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