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Simplifying 4x2 + 11x + -108 = 0 Reorder the terms: -108 + 11x + 4x2 = 0 Solving -108 + 11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-27 + -4x)(4 + -1x) = 0Subproblem 1
Set the factor '(-27 + -4x)' equal to zero and attempt to solve: Simplifying -27 + -4x = 0 Solving -27 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -4x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = 0 + 27 -4x = 0 + 27 Combine like terms: 0 + 27 = 27 -4x = 27 Divide each side by '-4'. x = -6.75 Simplifying x = -6.75Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-6.75, 4}
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