28x^3+59x^2+13x=

Solution for 28x^3+59x^2+13x= equation:

Simplifying
28x3 + 59x2 + 13x = 0

Reorder the terms:
13x + 59x2 + 28x3 = 0

Solving
13x + 59x2 + 28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 59x + 28x2) = 0

Factor a trinomial.
x((13 + 7x)(1 + 4x)) = 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 '(13 + 7x)' equal to zero and attempt to solve:

Simplifying
13 + 7x = 0

Solving
13 + 7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + 7x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 0 + -13
7x = 0 + -13

Combine like terms: 0 + -13 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857
Subproblem 3
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {0, -1.857142857, -0.25}