26x^2+24x=0

Solution for 26x^2+24x=0 equation:

Simplifying
26x2 + 24x = 0

Reorder the terms:
24x + 26x2 = 0

Solving
24x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12 + 13x) = 0

Ignore the factor 2.
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 '(12 + 13x)' equal to zero and attempt to solve:

Simplifying
12 + 13x = 0

Solving
12 + 13x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 13x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 13x = 0 + -12
13x = 0 + -12

Combine like terms: 0 + -12 = -12
13x = -12

Divide each side by '13'.
x = -0.9230769231

Simplifying
x = -0.9230769231
Solution
x = {0, -0.9230769231}