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Simplifying 0 = 33x2 + -9x + -24 Reorder the terms: 0 = -24 + -9x + 33x2 Solving 0 = -24 + -9x + 33x2 Solving for variable 'x'. Combine like terms: 0 + 24 = 24 24 + 9x + -33x2 = -24 + -9x + 33x2 + 24 + 9x + -33x2 Reorder the terms: 24 + 9x + -33x2 = -24 + 24 + -9x + 9x + 33x2 + -33x2 Combine like terms: -24 + 24 = 0 24 + 9x + -33x2 = 0 + -9x + 9x + 33x2 + -33x2 24 + 9x + -33x2 = -9x + 9x + 33x2 + -33x2 Combine like terms: -9x + 9x = 0 24 + 9x + -33x2 = 0 + 33x2 + -33x2 24 + 9x + -33x2 = 33x2 + -33x2 Combine like terms: 33x2 + -33x2 = 0 24 + 9x + -33x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 3x + -11x2) = 0 Factor a trinomial. 3((1 + -1x)(8 + 11x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(8 + 11x)' equal to zero and attempt to solve: Simplifying 8 + 11x = 0 Solving 8 + 11x = 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 + 11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 0 + -8 11x = 0 + -8 Combine like terms: 0 + -8 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273Solution
x = {1, -0.7272727273}
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