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Simplifying -6x3 + -111x2 + 246x = 0 Reorder the terms: 246x + -111x2 + -6x3 = 0 Solving 246x + -111x2 + -6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(82 + -37x + -2x2) = 0 Factor a trinomial. 3x((2 + -1x)(41 + 2x)) = 0 Ignore the factor 3.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 '(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 '(41 + 2x)' equal to zero and attempt to solve: Simplifying 41 + 2x = 0 Solving 41 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 2x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 2x = 0 + -41 2x = 0 + -41 Combine like terms: 0 + -41 = -41 2x = -41 Divide each side by '2'. x = -20.5 Simplifying x = -20.5Solution
x = {0, 2, -20.5}
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