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