26x^2-6x=0

Solution for 26x^2-6x=0 equation:

Simplifying
26x2 + -6x = 0

Reorder the terms:
-6x + 26x2 = 0

Solving
-6x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 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 '(-3 + 13x)' equal to zero and attempt to solve:

Simplifying
-3 + 13x = 0

Solving
-3 + 13x = 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 + 13x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 13x = 0 + 3
13x = 0 + 3

Combine like terms: 0 + 3 = 3
13x = 3

Divide each side by '13'.
x = 0.2307692308

Simplifying
x = 0.2307692308
Solution
x = {0, 0.2307692308}