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Simplifying 3X3 + -1X2 + -52X = 0 Reorder the terms: -52X + -1X2 + 3X3 = 0 Solving -52X + -1X2 + 3X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-52 + -1X + 3X2) = 0 Factor a trinomial. X((-4 + -1X)(13 + -3X)) = 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 '(13 + -3X)' equal to zero and attempt to solve: Simplifying 13 + -3X = 0 Solving 13 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3X = 0 + -13 -3X = 0 + -13 Combine like terms: 0 + -13 = -13 -3X = -13 Divide each side by '-3'. X = 4.333333333 Simplifying X = 4.333333333Solution
X = {0, -4, 4.333333333}
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