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Simplifying x3 + 13x2 + 30x = 2x3 Reorder the terms: 30x + 13x2 + x3 = 2x3 Solving 30x + 13x2 + x3 = 2x3 Solving for variable 'x'. Combine like terms: x3 + -2x3 = -1x3 30x + 13x2 + -1x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 30x + 13x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(30 + 13x + -1x2) = 0 Factor a trinomial. x((15 + -1x)(2 + 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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, 15, -2}
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