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Simplifying (x + 1)(x + 2) + -2 = 0 Reorder the terms: (1 + x)(x + 2) + -2 = 0 Reorder the terms: (1 + x)(2 + x) + -2 = 0 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x)) + -2 = 0 ((2 * 1 + x * 1) + x(2 + x)) + -2 = 0 ((2 + 1x) + x(2 + x)) + -2 = 0 (2 + 1x + (2 * x + x * x)) + -2 = 0 (2 + 1x + (2x + x2)) + -2 = 0 Combine like terms: 1x + 2x = 3x (2 + 3x + x2) + -2 = 0 Reorder the terms: 2 + -2 + 3x + x2 = 0 Combine like terms: 2 + -2 = 0 0 + 3x + x2 = 0 3x + x2 = 0 Solving 3x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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