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Simplifying 33x4 + -141x3 + 36x2 = 0 Reorder the terms: 36x2 + -141x3 + 33x4 = 0 Solving 36x2 + -141x3 + 33x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(12 + -47x + 11x2) = 0 Factor a trinomial. 3x2((3 + -11x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + -11x)' equal to zero and attempt to solve: Simplifying 3 + -11x = 0 Solving 3 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 0 + -3 -11x = 0 + -3 Combine like terms: 0 + -3 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 0.2727272727, 4}
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