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Simplifying x2 = (x + 1)(x + 1) Reorder the terms: x2 = (1 + x)(x + 1) Reorder the terms: x2 = (1 + x)(1 + x) Multiply (1 + x) * (1 + x) x2 = (1(1 + x) + x(1 + x)) x2 = ((1 * 1 + x * 1) + x(1 + x)) x2 = ((1 + 1x) + x(1 + x)) x2 = (1 + 1x + (1 * x + x * x)) x2 = (1 + 1x + (1x + x2)) Combine like terms: 1x + 1x = 2x x2 = (1 + 2x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 1 + 2x + 0 0 = 1 + 2x Solving 0 = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0 + -2x = 1 + 2x + -2x Remove the zero: -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -2x = 1 + 0 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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