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Simplifying 2X3 + -1X2 + -36X = 0 Reorder the terms: -36X + -1X2 + 2X3 = 0 Solving -36X + -1X2 + 2X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-36 + -1X + 2X2) = 0 Factor a trinomial. X((-4 + -1X)(9 + -2X)) = 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 '(-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 = -4Subproblem 3
Set the factor '(9 + -2X)' equal to zero and attempt to solve: Simplifying 9 + -2X = 0 Solving 9 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2X = 0 + -9 -2X = 0 + -9 Combine like terms: 0 + -9 = -9 -2X = -9 Divide each side by '-2'. X = 4.5 Simplifying X = 4.5Solution
X = {0, -4, 4.5}
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