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Simplifying x2 + 2x + -39 = 9 Reorder the terms: -39 + 2x + x2 = 9 Solving -39 + 2x + x2 = 9 Solving for variable 'x'. Reorder the terms: -39 + -9 + 2x + x2 = 9 + -9 Combine like terms: -39 + -9 = -48 -48 + 2x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -48 + 2x + x2 = 0 Factor a trinomial. (-8 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-8, 6}
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