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Simplifying (x + -3)(x + 6) = -8 Reorder the terms: (-3 + x)(x + 6) = -8 Reorder the terms: (-3 + x)(6 + x) = -8 Multiply (-3 + x) * (6 + x) (-3(6 + x) + x(6 + x)) = -8 ((6 * -3 + x * -3) + x(6 + x)) = -8 ((-18 + -3x) + x(6 + x)) = -8 (-18 + -3x + (6 * x + x * x)) = -8 (-18 + -3x + (6x + x2)) = -8 Combine like terms: -3x + 6x = 3x (-18 + 3x + x2) = -8 Solving -18 + 3x + x2 = -8 Solving for variable 'x'. Reorder the terms: -18 + 8 + 3x + x2 = -8 + 8 Combine like terms: -18 + 8 = -10 -10 + 3x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 -10 + 3x + x2 = 0 Factor a trinomial. (-5 + -1x)(2 + -1x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-5, 2}
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