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Simplifying (x + 2)(x + 1) = -2x + -2 Reorder the terms: (2 + x)(x + 1) = -2x + -2 Reorder the terms: (2 + x)(1 + x) = -2x + -2 Multiply (2 + x) * (1 + x) (2(1 + x) + x(1 + x)) = -2x + -2 ((1 * 2 + x * 2) + x(1 + x)) = -2x + -2 ((2 + 2x) + x(1 + x)) = -2x + -2 (2 + 2x + (1 * x + x * x)) = -2x + -2 (2 + 2x + (1x + x2)) = -2x + -2 Combine like terms: 2x + 1x = 3x (2 + 3x + x2) = -2x + -2 Reorder the terms: 2 + 3x + x2 = -2 + -2x Solving 2 + 3x + x2 = -2 + -2x Solving for variable 'x'. Reorder the terms: 2 + 2 + 3x + 2x + x2 = -2 + -2x + 2 + 2x Combine like terms: 2 + 2 = 4 4 + 3x + 2x + x2 = -2 + -2x + 2 + 2x Combine like terms: 3x + 2x = 5x 4 + 5x + x2 = -2 + -2x + 2 + 2x Reorder the terms: 4 + 5x + x2 = -2 + 2 + -2x + 2x Combine like terms: -2 + 2 = 0 4 + 5x + x2 = 0 + -2x + 2x 4 + 5x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 5x + x2 = 0 Factor a trinomial. (4 + x)(1 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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 = {-4, -1}
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