-2x^3+33x^2-58x=0

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Solution for -2x^3+33x^2-58x=0 equation:


Simplifying
-2x3 + 33x2 + -58x = 0

Reorder the terms:
-58x + 33x2 + -2x3 = 0

Solving
-58x + 33x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-58 + 33x + -2x2) = 0

Factor a trinomial.
x((-29 + 2x)(2 + -1x)) = 0

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 = 0

Subproblem 2

Set the factor '(-29 + 2x)' equal to zero and attempt to solve: Simplifying -29 + 2x = 0 Solving -29 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 2x = 0 + 29 2x = 0 + 29 Combine like terms: 0 + 29 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5

Subproblem 3

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 = 2

Solution

x = {0, 14.5, 2}

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