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Simplifying 0 = 2x3 + 8x2 + 6x Reorder the terms: 0 = 6x + 8x2 + 2x3 Solving 0 = 6x + 8x2 + 2x3 Solving for variable 'x'. Remove the zero: -6x + -8x2 + -2x3 = 6x + 8x2 + 2x3 + -6x + -8x2 + -2x3 Reorder the terms: -6x + -8x2 + -2x3 = 6x + -6x + 8x2 + -8x2 + 2x3 + -2x3 Combine like terms: 6x + -6x = 0 -6x + -8x2 + -2x3 = 0 + 8x2 + -8x2 + 2x3 + -2x3 -6x + -8x2 + -2x3 = 8x2 + -8x2 + 2x3 + -2x3 Combine like terms: 8x2 + -8x2 = 0 -6x + -8x2 + -2x3 = 0 + 2x3 + -2x3 -6x + -8x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -6x + -8x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + 4x + x2) = 0 Factor a trinomial. -2x((3 + x)(1 + x)) = 0 Ignore the factor -2.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 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, -3, -1}
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