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Simplifying (x + -1)(x + 1) = x2 + -2x + 3 Reorder the terms: (-1 + x)(x + 1) = x2 + -2x + 3 Reorder the terms: (-1 + x)(1 + x) = x2 + -2x + 3 Multiply (-1 + x) * (1 + x) (-1(1 + x) + x(1 + x)) = x2 + -2x + 3 ((1 * -1 + x * -1) + x(1 + x)) = x2 + -2x + 3 ((-1 + -1x) + x(1 + x)) = x2 + -2x + 3 (-1 + -1x + (1 * x + x * x)) = x2 + -2x + 3 (-1 + -1x + (1x + x2)) = x2 + -2x + 3 Combine like terms: -1x + 1x = 0 (-1 + 0 + x2) = x2 + -2x + 3 (-1 + x2) = x2 + -2x + 3 Reorder the terms: -1 + x2 = 3 + -2x + x2 Add '-1x2' to each side of the equation. -1 + x2 + -1x2 = 3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + 0 = 3 + -2x + x2 + -1x2 -1 = 3 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 = 3 + -2x + 0 -1 = 3 + -2x Solving -1 = 3 + -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. -1 + 2x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 2x = 3 + 0 -1 + 2x = 3 Add '1' to each side of the equation. -1 + 1 + 2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 3 + 1 2x = 3 + 1 Combine like terms: 3 + 1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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