x^2-36x=35x

Solution for x^2-36x=35x equation:

Simplifying
x2 + -36x = 35x

Reorder the terms:
-36x + x2 = 35x

Solving
-36x + x2 = 35x

Solving for variable 'x'.

Reorder the terms:
-36x + -35x + x2 = 35x + -35x

Combine like terms: -36x + -35x = -71x
-71x + x2 = 35x + -35x

Combine like terms: 35x + -35x = 0
-71x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-71 + 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 '(-71 + x)' equal to zero and attempt to solve:

Simplifying
-71 + x = 0

Solving
-71 + x = 0

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

Add '71' to each side of the equation.
-71 + 71 + x = 0 + 71

Combine like terms: -71 + 71 = 0
0 + x = 0 + 71
x = 0 + 71

Combine like terms: 0 + 71 = 71
x = 71

Simplifying
x = 71
Solution
x = {0, 71}