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Simplifying 3X3 + -15X = 12X2 Reorder the terms: -15X + 3X3 = 12X2 Solving -15X + 3X3 = 12X2 Solving for variable 'X'. Reorder the terms: -15X + -12X2 + 3X3 = 12X2 + -12X2 Combine like terms: 12X2 + -12X2 = 0 -15X + -12X2 + 3X3 = 0 Factor out the Greatest Common Factor (GCF), '3X'. 3X(-5 + -4X + X2) = 0 Factor a trinomial. 3X((-1 + -1X)(5 + -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 '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 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 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {0, -1, 5}
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