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Simplifying 3x3 + -29x2 + 26x = 0 Reorder the terms: 26x + -29x2 + 3x3 = 0 Solving 26x + -29x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(26 + -29x + 3x2) = 0 Factor a trinomial. x((1 + -1x)(26 + -3x)) = 0Subproblem 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 + -3x)' equal to zero and attempt to solve: Simplifying 26 + -3x = 0 Solving 26 + -3x = 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 + -3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 0 + -26 -3x = 0 + -26 Combine like terms: 0 + -26 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667Solution
x = {0, 1, 8.666666667}
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