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Simplifying (x + 1)(x + 1) + -1 = 0 Reorder the terms: (1 + x)(x + 1) + -1 = 0 Reorder the terms: (1 + x)(1 + x) + -1 = 0 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) + -1 = 0 ((1 * 1 + x * 1) + x(1 + x)) + -1 = 0 ((1 + 1x) + x(1 + x)) + -1 = 0 (1 + 1x + (1 * x + x * x)) + -1 = 0 (1 + 1x + (1x + x2)) + -1 = 0 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) + -1 = 0 Reorder the terms: 1 + -1 + 2x + x2 = 0 Combine like terms: 1 + -1 = 0 0 + 2x + x2 = 0 2x + x2 = 0 Solving 2x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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