13x^2+10x=0

Solution for 13x^2+10x=0 equation:

Simplifying
13x2 + 10x = 0

Reorder the terms:
10x + 13x2 = 0

Solving
10x + 13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + 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 '(10 + 13x)' equal to zero and attempt to solve:

Simplifying
10 + 13x = 0

Solving
10 + 13x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 13x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 0 + -10
13x = 0 + -10

Combine like terms: 0 + -10 = -10
13x = -10

Divide each side by '13'.
x = -0.7692307692

Simplifying
x = -0.7692307692
Solution
x = {0, -0.7692307692}