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Simplifying x2 + 5x + -31 = 5 Reorder the terms: -31 + 5x + x2 = 5 Solving -31 + 5x + x2 = 5 Solving for variable 'x'. Reorder the terms: -31 + -5 + 5x + x2 = 5 + -5 Combine like terms: -31 + -5 = -36 -36 + 5x + x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -36 + 5x + x2 = 0 Factor a trinomial. (-9 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
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 = 4Solution
x = {-9, 4}
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