-13x^3-40x^2-3x=0

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Solution for -13x^3-40x^2-3x=0 equation:


Simplifying
-13x3 + -40x2 + -3x = 0

Reorder the terms:
-3x + -40x2 + -13x3 = 0

Solving
-3x + -40x2 + -13x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + 40x + 13x2) = 0

Factor a trinomial.
-1x((3 + x)(1 + 13x)) = 0

Ignore the factor -1.

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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 3

Set the factor '(1 + 13x)' equal to zero and attempt to solve: Simplifying 1 + 13x = 0 Solving 1 + 13x = 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 + 13x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 0 + -1 13x = 0 + -1 Combine like terms: 0 + -1 = -1 13x = -1 Divide each side by '13'. x = -0.07692307692 Simplifying x = -0.07692307692

Solution

x = {0, -3, -0.07692307692}

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