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Simplifying 6x3 = 9x2 + 60x Reorder the terms: 6x3 = 60x + 9x2 Solving 6x3 = 60x + 9x2 Solving for variable 'x'. Reorder the terms: -60x + -9x2 + 6x3 = 60x + 9x2 + -60x + -9x2 Reorder the terms: -60x + -9x2 + 6x3 = 60x + -60x + 9x2 + -9x2 Combine like terms: 60x + -60x = 0 -60x + -9x2 + 6x3 = 0 + 9x2 + -9x2 -60x + -9x2 + 6x3 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -60x + -9x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-20 + -3x + 2x2) = 0 Factor a trinomial. 3x((-5 + -2x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -2.5, 4}
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