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Simplifying x2 + -4x + -40 = 5 Reorder the terms: -40 + -4x + x2 = 5 Solving -40 + -4x + x2 = 5 Solving for variable 'x'. Reorder the terms: -40 + -5 + -4x + x2 = 5 + -5 Combine like terms: -40 + -5 = -45 -45 + -4x + x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -45 + -4x + x2 = 0 Factor a trinomial. (-5 + -1x)(9 + -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 '(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 = 9Solution
x = {-5, 9}
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