x^2=26x

Solution for x^2=26x equation:

Simplifying
x2 = 26x

Solving
x2 = 26x

Solving for variable 'x'.

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

Combine like terms: 26x + -26x = 0
-26x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-26 + x) = 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 '(-26 + x)' equal to zero and attempt to solve:

Simplifying
-26 + x = 0

Solving
-26 + x = 0

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

Add '26' to each side of the equation.
-26 + 26 + x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + x = 0 + 26
x = 0 + 26

Combine like terms: 0 + 26 = 26
x = 26

Simplifying
x = 26
Solution
x = {0, 26}