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Simplifying 4x2 + 4x + -11 = 34 + -27x Reorder the terms: -11 + 4x + 4x2 = 34 + -27x Solving -11 + 4x + 4x2 = 34 + -27x Solving for variable 'x'. Reorder the terms: -11 + -34 + 4x + 27x + 4x2 = 34 + -27x + -34 + 27x Combine like terms: -11 + -34 = -45 -45 + 4x + 27x + 4x2 = 34 + -27x + -34 + 27x Combine like terms: 4x + 27x = 31x -45 + 31x + 4x2 = 34 + -27x + -34 + 27x Reorder the terms: -45 + 31x + 4x2 = 34 + -34 + -27x + 27x Combine like terms: 34 + -34 = 0 -45 + 31x + 4x2 = 0 + -27x + 27x -45 + 31x + 4x2 = -27x + 27x Combine like terms: -27x + 27x = 0 -45 + 31x + 4x2 = 0 Factor a trinomial. (-9 + -1x)(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-9, 1.25}
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