x^2=35x-2x

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

Simplifying
x2 = 35x + -2x

Combine like terms: 35x + -2x = 33x
x2 = 33x

Solving
x2 = 33x

Solving for variable 'x'.

Reorder the terms:
-33x + x2 = 33x + -33x

Combine like terms: 33x + -33x = 0
-33x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-33 + 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 '(-33 + x)' equal to zero and attempt to solve:

Simplifying
-33 + x = 0

Solving
-33 + x = 0

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

Add '33' to each side of the equation.
-33 + 33 + x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + x = 0 + 33
x = 0 + 33

Combine like terms: 0 + 33 = 33
x = 33

Simplifying
x = 33
Solution
x = {0, 33}