13x^3-6x^2-19x=

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Solution for 13x^3-6x^2-19x= equation:


Simplifying
13x3 + -6x2 + -19x = 0

Reorder the terms:
-19x + -6x2 + 13x3 = 0

Solving
-19x + -6x2 + 13x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + -6x + 13x2) = 0

Factor a trinomial.
x((-1 + -1x)(19 + -13x)) = 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 '(-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 = -1

Subproblem 3

Set the factor '(19 + -13x)' equal to zero and attempt to solve: Simplifying 19 + -13x = 0 Solving 19 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -13x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -13x = 0 + -19 -13x = 0 + -19 Combine like terms: 0 + -19 = -19 -13x = -19 Divide each side by '-13'. x = 1.461538462 Simplifying x = 1.461538462

Solution

x = {0, -1, 1.461538462}

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