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Simplifying -1x2 + 14x + 15 = 60 Reorder the terms: 15 + 14x + -1x2 = 60 Solving 15 + 14x + -1x2 = 60 Solving for variable 'x'. Reorder the terms: 15 + -60 + 14x + -1x2 = 60 + -60 Combine like terms: 15 + -60 = -45 -45 + 14x + -1x2 = 60 + -60 Combine like terms: 60 + -60 = 0 -45 + 14x + -1x2 = 0 Factor a trinomial. (-9 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
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 = 5Solution
x = {9, 5}
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