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Simplifying 0 = 4x3 + 36x2 + 81x Reorder the terms: 0 = 81x + 36x2 + 4x3 Solving 0 = 81x + 36x2 + 4x3 Solving for variable 'x'. Remove the zero: -81x + -36x2 + -4x3 = 81x + 36x2 + 4x3 + -81x + -36x2 + -4x3 Reorder the terms: -81x + -36x2 + -4x3 = 81x + -81x + 36x2 + -36x2 + 4x3 + -4x3 Combine like terms: 81x + -81x = 0 -81x + -36x2 + -4x3 = 0 + 36x2 + -36x2 + 4x3 + -4x3 -81x + -36x2 + -4x3 = 36x2 + -36x2 + 4x3 + -4x3 Combine like terms: 36x2 + -36x2 = 0 -81x + -36x2 + -4x3 = 0 + 4x3 + -4x3 -81x + -36x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -81x + -36x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(81 + 36x + 4x2) = 0 Factor a trinomial. -1x((9 + 2x)(9 + 2x)) = 0 Ignore the factor -1.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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Subproblem 3
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0, -4.5, -4.5}
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