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Simplifying 54x2 + -17x + -96 = 0 Reorder the terms: -96 + -17x + 54x2 = 0 Solving -96 + -17x + 54x2 = 0 Solving for variable 'x'. Factor a trinomial. (-32 + -27x)(3 + -2x) = 0Subproblem 1
Set the factor '(-32 + -27x)' equal to zero and attempt to solve: Simplifying -32 + -27x = 0 Solving -32 + -27x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -27x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -27x = 0 + 32 -27x = 0 + 32 Combine like terms: 0 + 32 = 32 -27x = 32 Divide each side by '-27'. x = -1.185185185 Simplifying x = -1.185185185Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-1.185185185, 1.5}
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