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Simplifying (x + 1)(x + -1) + -1x2 + 2x = 3 Reorder the terms: (1 + x)(x + -1) + -1x2 + 2x = 3 Reorder the terms: (1 + x)(-1 + x) + -1x2 + 2x = 3 Multiply (1 + x) * (-1 + x) (1(-1 + x) + x(-1 + x)) + -1x2 + 2x = 3 ((-1 * 1 + x * 1) + x(-1 + x)) + -1x2 + 2x = 3 ((-1 + 1x) + x(-1 + x)) + -1x2 + 2x = 3 (-1 + 1x + (-1 * x + x * x)) + -1x2 + 2x = 3 (-1 + 1x + (-1x + x2)) + -1x2 + 2x = 3 Combine like terms: 1x + -1x = 0 (-1 + 0 + x2) + -1x2 + 2x = 3 (-1 + x2) + -1x2 + 2x = 3 Reorder the terms: -1 + 2x + x2 + -1x2 = 3 Combine like terms: x2 + -1x2 = 0 -1 + 2x + 0 = 3 -1 + 2x = 3 Solving -1 + 2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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