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Simplifying x2 + -5x + -14 = 36 Reorder the terms: -14 + -5x + x2 = 36 Solving -14 + -5x + x2 = 36 Solving for variable 'x'. Reorder the terms: -14 + -36 + -5x + x2 = 36 + -36 Combine like terms: -14 + -36 = -50 -50 + -5x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -50 + -5x + x2 = 0 Factor a trinomial. (-5 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-5, 10}
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