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Simplifying 9x2 = 24x + -15 Reorder the terms: 9x2 = -15 + 24x Solving 9x2 = -15 + 24x Solving for variable 'x'. Reorder the terms: 15 + -24x + 9x2 = -15 + 24x + 15 + -24x Reorder the terms: 15 + -24x + 9x2 = -15 + 15 + 24x + -24x Combine like terms: -15 + 15 = 0 15 + -24x + 9x2 = 0 + 24x + -24x 15 + -24x + 9x2 = 24x + -24x Combine like terms: 24x + -24x = 0 15 + -24x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -8x + 3x2) = 0 Factor a trinomial. 3((1 + -1x)(5 + -3x)) = 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {1, 1.666666667}
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