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Simplifying 3x3 = 15x2 + 18x Reorder the terms: 3x3 = 18x + 15x2 Solving 3x3 = 18x + 15x2 Solving for variable 'x'. Reorder the terms: -18x + -15x2 + 3x3 = 18x + 15x2 + -18x + -15x2 Reorder the terms: -18x + -15x2 + 3x3 = 18x + -18x + 15x2 + -15x2 Combine like terms: 18x + -18x = 0 -18x + -15x2 + 3x3 = 0 + 15x2 + -15x2 -18x + -15x2 + 3x3 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -18x + -15x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-6 + -5x + x2) = 0 Factor a trinomial. 3x((-1 + -1x)(6 + -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 '(-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 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0, -1, 6}
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