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Simplifying 33x6 + -61x5 + 26x4 = 0 Reorder the terms: 26x4 + -61x5 + 33x6 = 0 Solving 26x4 + -61x5 + 33x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(26 + -61x + 33x2) = 0 Factor a trinomial. x4((2 + -3x)(13 + -11x)) = 0Subproblem 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 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 3
Set the factor '(13 + -11x)' equal to zero and attempt to solve: Simplifying 13 + -11x = 0 Solving 13 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -11x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 0 + -13 -11x = 0 + -13 Combine like terms: 0 + -13 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182Solution
x = {0.6666666667, 1.181818182}
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