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Simplifying 5x3 = -12x2 + 9x Reorder the terms: 5x3 = 9x + -12x2 Solving 5x3 = 9x + -12x2 Solving for variable 'x'. Reorder the terms: -9x + 12x2 + 5x3 = 9x + -12x2 + -9x + 12x2 Reorder the terms: -9x + 12x2 + 5x3 = 9x + -9x + -12x2 + 12x2 Combine like terms: 9x + -9x = 0 -9x + 12x2 + 5x3 = 0 + -12x2 + 12x2 -9x + 12x2 + 5x3 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -9x + 12x2 + 5x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 12x + 5x2) = 0 Factor a trinomial. x((-3 + -1x)(3 + -5x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 3
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {0, -3, 0.6}
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