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Simplifying (1 + x)(1 + -1x) = 15 Multiply (1 + x) * (1 + -1x) (1(1 + -1x) + x(1 + -1x)) = 15 ((1 * 1 + -1x * 1) + x(1 + -1x)) = 15 ((1 + -1x) + x(1 + -1x)) = 15 (1 + -1x + (1 * x + -1x * x)) = 15 (1 + -1x + (1x + -1x2)) = 15 Combine like terms: -1x + 1x = 0 (1 + 0 + -1x2) = 15 (1 + -1x2) = 15 Solving 1 + -1x2 = 15 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 + -1x2 = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -1x2 = 15 + -1 -1x2 = 15 + -1 Combine like terms: 15 + -1 = 14 -1x2 = 14 Divide each side by '-1'. x2 = -14 Simplifying x2 = -14 Reorder the terms: 14 + x2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + x2 = 0 The solution to this equation could not be determined.
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