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Simplifying 3X3 + -1X2 + -30X = 0 Reorder the terms: -30X + -1X2 + 3X3 = 0 Solving -30X + -1X2 + 3X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-30 + -1X + 3X2) = 0 Factor a trinomial. X((-3 + -1X)(10 + -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 '(-3 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 3
Set the factor '(10 + -3X)' equal to zero and attempt to solve: Simplifying 10 + -3X = 0 Solving 10 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3X = 0 + -10 -3X = 0 + -10 Combine like terms: 0 + -10 = -10 -3X = -10 Divide each side by '-3'. X = 3.333333333 Simplifying X = 3.333333333Solution
X = {0, -3, 3.333333333}
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