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Simplifying 8x3 + -58x2 + 50x = 0 Reorder the terms: 50x + -58x2 + 8x3 = 0 Solving 50x + -58x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(25 + -29x + 4x2) = 0 Factor a trinomial. 2x((1 + -1x)(25 + -4x)) = 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 '(25 + -4x)' equal to zero and attempt to solve: Simplifying 25 + -4x = 0 Solving 25 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 0 + -25 -4x = 0 + -25 Combine like terms: 0 + -25 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25Solution
x = {0, 1, 6.25}
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