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Simplifying (x + -2)(x + 7) = -18 Reorder the terms: (-2 + x)(x + 7) = -18 Reorder the terms: (-2 + x)(7 + x) = -18 Multiply (-2 + x) * (7 + x) (-2(7 + x) + x(7 + x)) = -18 ((7 * -2 + x * -2) + x(7 + x)) = -18 ((-14 + -2x) + x(7 + x)) = -18 (-14 + -2x + (7 * x + x * x)) = -18 (-14 + -2x + (7x + x2)) = -18 Combine like terms: -2x + 7x = 5x (-14 + 5x + x2) = -18 Solving -14 + 5x + x2 = -18 Solving for variable 'x'. Reorder the terms: -14 + 18 + 5x + x2 = -18 + 18 Combine like terms: -14 + 18 = 4 4 + 5x + x2 = -18 + 18 Combine like terms: -18 + 18 = 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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