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Simplifying x3 + 8x = -6x2 Reorder the terms: 8x + x3 = -6x2 Solving 8x + x3 = -6x2 Solving for variable 'x'. Reorder the terms: 8x + 6x2 + x3 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 8x + 6x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 6x + x2) = 0 Factor a trinomial. x((4 + x)(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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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, -4, -2}
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