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Simplifying 30x3 + -82x2 + 52x = 0 Reorder the terms: 52x + -82x2 + 30x3 = 0 Solving 52x + -82x2 + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(26 + -41x + 15x2) = 0 Factor a trinomial. 2x((1 + -1x)(26 + -15x)) = 0 Ignore the factor 2.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 3
Set the factor '(26 + -15x)' equal to zero and attempt to solve: Simplifying 26 + -15x = 0 Solving 26 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -15x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -15x = 0 + -26 -15x = 0 + -26 Combine like terms: 0 + -26 = -26 -15x = -26 Divide each side by '-15'. x = 1.733333333 Simplifying x = 1.733333333Solution
x = {0, 1, 1.733333333}
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