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Simplifying 22x6 + -4x5 + -96x4 = 0 Reorder the terms: -96x4 + -4x5 + 22x6 = 0 Solving -96x4 + -4x5 + 22x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x4'. 2x4(-48 + -2x + 11x2) = 0 Factor a trinomial. 2x4((-2 + -1x)(24 + -11x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(24 + -11x)' equal to zero and attempt to solve: Simplifying 24 + -11x = 0 Solving 24 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -11x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = 0 + -24 -11x = 0 + -24 Combine like terms: 0 + -24 = -24 -11x = -24 Divide each side by '-11'. x = 2.181818182 Simplifying x = 2.181818182Solution
x = {-2, 2.181818182}
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