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Simplifying 2x3 + 18x = -15x2 Reorder the terms: 18x + 2x3 = -15x2 Solving 18x + 2x3 = -15x2 Solving for variable 'x'. Reorder the terms: 18x + 15x2 + 2x3 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 18x + 15x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 15x + 2x2) = 0 Factor a trinomial. x((6 + x)(3 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -6, -1.5}
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