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Simplifying x2 = (x + 2)(x + 1) Reorder the terms: x2 = (2 + x)(x + 1) Reorder the terms: x2 = (2 + x)(1 + x) Multiply (2 + x) * (1 + x) x2 = (2(1 + x) + x(1 + x)) x2 = ((1 * 2 + x * 2) + x(1 + x)) x2 = ((2 + 2x) + x(1 + x)) x2 = (2 + 2x + (1 * x + x * x)) x2 = (2 + 2x + (1x + x2)) Combine like terms: 2x + 1x = 3x x2 = (2 + 3x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 = 2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 2 + 3x + 0 0 = 2 + 3x Solving 0 = 2 + 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. 0 + -3x = 2 + 3x + -3x Remove the zero: -3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -3x = 2 + 0 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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