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Simplifying 11x2 + 18x + -729 = 0 Reorder the terms: -729 + 18x + 11x2 = 0 Solving -729 + 18x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(81 + -11x) = 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 '(81 + -11x)' equal to zero and attempt to solve: Simplifying 81 + -11x = 0 Solving 81 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -11x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -11x = 0 + -81 -11x = 0 + -81 Combine like terms: 0 + -81 = -81 -11x = -81 Divide each side by '-11'. x = 7.363636364 Simplifying x = 7.363636364Solution
x = {-9, 7.363636364}
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