13x^3-18x^2-16x=

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Solution for 13x^3-18x^2-16x= equation:


Simplifying
13x3 + -18x2 + -16x = 0

Reorder the terms:
-16x + -18x2 + 13x3 = 0

Solving
-16x + -18x2 + 13x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + -18x + 13x2) = 0

Factor a trinomial.
x((-8 + -13x)(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 '(-8 + -13x)' equal to zero and attempt to solve: Simplifying -8 + -13x = 0 Solving -8 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -13x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = 0 + 8 -13x = 0 + 8 Combine like terms: 0 + 8 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154

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, -0.6153846154, 2}

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