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Simplifying 4x2 + -27x + -117 = 0 Reorder the terms: -117 + -27x + 4x2 = 0 Solving -117 + -27x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(39 + -4x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(39 + -4x)' equal to zero and attempt to solve: Simplifying 39 + -4x = 0 Solving 39 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -4x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -4x = 0 + -39 -4x = 0 + -39 Combine like terms: 0 + -39 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75Solution
x = {-3, 9.75}
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