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Simplifying x2 + 10x + -40 = -1 Reorder the terms: -40 + 10x + x2 = -1 Solving -40 + 10x + x2 = -1 Solving for variable 'x'. Reorder the terms: -40 + 1 + 10x + x2 = -1 + 1 Combine like terms: -40 + 1 = -39 -39 + 10x + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 -39 + 10x + x2 = 0 Factor a trinomial. (-13 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-13, 3}
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