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Simplifying 3X3 + 8X2 + 5X = 0 Reorder the terms: 5X + 8X2 + 3X3 = 0 Solving 5X + 8X2 + 3X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(5 + 8X + 3X2) = 0 Factor a trinomial. X((5 + 3X)(1 + X)) = 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 '(5 + 3X)' equal to zero and attempt to solve: Simplifying 5 + 3X = 0 Solving 5 + 3X = 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 + 3X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3X = 0 + -5 3X = 0 + -5 Combine like terms: 0 + -5 = -5 3X = -5 Divide each side by '3'. X = -1.666666667 Simplifying X = -1.666666667Subproblem 3
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 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 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {0, -1.666666667, -1}
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