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Simplifying -8x3 + -452x2 + -224x = 0 Reorder the terms: -224x + -452x2 + -8x3 = 0 Solving -224x + -452x2 + -8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x'. -4x(56 + 113x + 2x2) = 0 Factor a trinomial. -4x((56 + x)(1 + 2x)) = 0 Ignore the factor -4.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 '(56 + x)' equal to zero and attempt to solve: Simplifying 56 + x = 0 Solving 56 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + x = 0 + -56 x = 0 + -56 Combine like terms: 0 + -56 = -56 x = -56 Simplifying x = -56Subproblem 3
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -56, -0.5}
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