x(x-35)=0

Solution for x(x-35)=0 equation:

Simplifying
x(x + -35) = 0

Reorder the terms:
x(-35 + x) = 0
(-35 * x + x * x) = 0
(-35x + x2) = 0

Solving
-35x + x2 = 0

Solving for variable 'x'.

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}