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