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Simplifying (x + -2)(x + 1) = 18 Reorder the terms: (-2 + x)(x + 1) = 18 Reorder the terms: (-2 + x)(1 + x) = 18 Multiply (-2 + x) * (1 + x) (-2(1 + x) + x(1 + x)) = 18 ((1 * -2 + x * -2) + x(1 + x)) = 18 ((-2 + -2x) + x(1 + x)) = 18 (-2 + -2x + (1 * x + x * x)) = 18 (-2 + -2x + (1x + x2)) = 18 Combine like terms: -2x + 1x = -1x (-2 + -1x + x2) = 18 Solving -2 + -1x + x2 = 18 Solving for variable 'x'. Reorder the terms: -2 + -18 + -1x + x2 = 18 + -18 Combine like terms: -2 + -18 = -20 -20 + -1x + x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -20 + -1x + x2 = 0 Factor a trinomial. (-4 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4, 5}
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