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Simplifying -91x2 + 108x + -32 = 0 Reorder the terms: -32 + 108x + -91x2 = 0 Solving -32 + 108x + -91x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + 13x)(4 + -7x) = 0Subproblem 1
Set the factor '(-8 + 13x)' equal to zero and attempt to solve: Simplifying -8 + 13x = 0 Solving -8 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 0 + 8 13x = 0 + 8 Combine like terms: 0 + 8 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0.6153846154, 0.5714285714}
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