=5x^3+13x^2+6x

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Solution for =5x^3+13x^2+6x equation: 


Simplifying
0 = 5x3 + 13x2 + 6x

Reorder the terms:
0 = 6x + 13x2 + 5x3

Solving
0 = 6x + 13x2 + 5x3

Solving for variable 'x'.
Remove the zero:
-6x + -13x2 + -5x3 = 6x + 13x2 + 5x3 + -6x + -13x2 + -5x3

Reorder the terms:
-6x + -13x2 + -5x3 = 6x + -6x + 13x2 + -13x2 + 5x3 + -5x3

Combine like terms: 6x + -6x = 0
-6x + -13x2 + -5x3 = 0 + 13x2 + -13x2 + 5x3 + -5x3
-6x + -13x2 + -5x3 = 13x2 + -13x2 + 5x3 + -5x3

Combine like terms: 13x2 + -13x2 = 0
-6x + -13x2 + -5x3 = 0 + 5x3 + -5x3
-6x + -13x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-6x + -13x2 + -5x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(6 + 13x + 5x2) = 0

Factor a trinomial.
-1x((2 + x)(3 + 5x)) = 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {0, -2, -0.6}

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