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Simplifying 2x2 + 6x + 9 = 317 Reorder the terms: 9 + 6x + 2x2 = 317 Solving 9 + 6x + 2x2 = 317 Solving for variable 'x'. Reorder the terms: 9 + -317 + 6x + 2x2 = 317 + -317 Combine like terms: 9 + -317 = -308 -308 + 6x + 2x2 = 317 + -317 Combine like terms: 317 + -317 = 0 -308 + 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-154 + 3x + x2) = 0 Factor a trinomial. 2((-14 + -1x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-14, 11}
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