x^2=35x

Solution for x^2=35x equation:

Simplifying
x2 = 35x

Solving
x2 = 35x

Solving for variable 'x'.

Reorder the terms:
-35x + x2 = 35x + -35x

Combine like terms: 35x + -35x = 0
-35x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35 + 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 '(-35 + x)' equal to zero and attempt to solve:

Simplifying
-35 + x = 0

Solving
-35 + x = 0

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

Add '35' to each side of the equation.
-35 + 35 + x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + x = 0 + 35
x = 0 + 35

Combine like terms: 0 + 35 = 35
x = 35

Simplifying
x = 35
Solution
x = {0, 35}