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Simplifying (x + 1)(x + 1) + -4(x + -1) + -1x2 + -3 = 0 Reorder the terms: (1 + x)(x + 1) + -4(x + -1) + -1x2 + -3 = 0 Reorder the terms: (1 + x)(1 + x) + -4(x + -1) + -1x2 + -3 = 0 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) + -4(x + -1) + -1x2 + -3 = 0 ((1 * 1 + x * 1) + x(1 + x)) + -4(x + -1) + -1x2 + -3 = 0 ((1 + 1x) + x(1 + x)) + -4(x + -1) + -1x2 + -3 = 0 (1 + 1x + (1 * x + x * x)) + -4(x + -1) + -1x2 + -3 = 0 (1 + 1x + (1x + x2)) + -4(x + -1) + -1x2 + -3 = 0 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) + -4(x + -1) + -1x2 + -3 = 0 Reorder the terms: 1 + 2x + x2 + -4(-1 + x) + -1x2 + -3 = 0 1 + 2x + x2 + (-1 * -4 + x * -4) + -1x2 + -3 = 0 1 + 2x + x2 + (4 + -4x) + -1x2 + -3 = 0 Reorder the terms: 1 + 4 + -3 + 2x + -4x + x2 + -1x2 = 0 Combine like terms: 1 + 4 = 5 5 + -3 + 2x + -4x + x2 + -1x2 = 0 Combine like terms: 5 + -3 = 2 2 + 2x + -4x + x2 + -1x2 = 0 Combine like terms: 2x + -4x = -2x 2 + -2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 2 + -2x + 0 = 0 2 + -2x = 0 Solving 2 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 0 + -2 -2x = 0 + -2 Combine like terms: 0 + -2 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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