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Simplifying 4x3 + 43x2 + 39x = 0 Reorder the terms: 39x + 43x2 + 4x3 = 0 Solving 39x + 43x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(39 + 43x + 4x2) = 0 Factor a trinomial. x((39 + 4x)(1 + 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 '(39 + 4x)' equal to zero and attempt to solve: Simplifying 39 + 4x = 0 Solving 39 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 4x = 0 + -39 4x = 0 + -39 Combine like terms: 0 + -39 = -39 4x = -39 Divide each side by '4'. x = -9.75 Simplifying x = -9.75Subproblem 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, -9.75, -1}
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