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Simplifying 8x2 + -67x + -1251 = 0 Reorder the terms: -1251 + -67x + 8x2 = 0 Solving -1251 + -67x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(139 + -8x) = 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 '(139 + -8x)' equal to zero and attempt to solve: Simplifying 139 + -8x = 0 Solving 139 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-139' to each side of the equation. 139 + -139 + -8x = 0 + -139 Combine like terms: 139 + -139 = 0 0 + -8x = 0 + -139 -8x = 0 + -139 Combine like terms: 0 + -139 = -139 -8x = -139 Divide each side by '-8'. x = 17.375 Simplifying x = 17.375Solution
x = {-9, 17.375}
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