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Simplifying 9x2 + 113x + 308 = 0 Reorder the terms: 308 + 113x + 9x2 = 0 Solving 308 + 113x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (77 + 9x)(4 + x) = 0Subproblem 1
Set the factor '(77 + 9x)' equal to zero and attempt to solve: Simplifying 77 + 9x = 0 Solving 77 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 9x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 9x = 0 + -77 9x = 0 + -77 Combine like terms: 0 + -77 = -77 9x = -77 Divide each side by '9'. x = -8.555555556 Simplifying x = -8.555555556Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-8.555555556, -4}
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