100x^2-10x=0

Solution for 100x^2-10x=0 equation:

Simplifying
100x2 + -10x = 0

Reorder the terms:
-10x + 100x2 = 0

Solving
-10x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-1 + 10x) = 0

Ignore the factor 10.
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 '(-1 + 10x)' equal to zero and attempt to solve:

Simplifying
-1 + 10x = 0

Solving
-1 + 10x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 10x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 0 + 1
10x = 0 + 1

Combine like terms: 0 + 1 = 1
10x = 1

Divide each side by '10'.
x = 0.1

Simplifying
x = 0.1
Solution
x = {0, 0.1}