x^2=0.01x

Solution for x^2=0.01x equation:

Simplifying
x2 = 0.01x

Solving
x2 = 0.01x

Solving for variable 'x'.

Reorder the terms:
-0.01x + x2 = 0.01x + -0.01x

Combine like terms: 0.01x + -0.01x = 0.00
-0.01x + x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.01 + x) = 0.00

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 '(-0.01 + x)' equal to zero and attempt to solve:

Simplifying
-0.01 + x = 0

Solving
-0.01 + x = 0

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

Add '0.01' to each side of the equation.
-0.01 + 0.01 + x = 0 + 0.01

Combine like terms: -0.01 + 0.01 = 0.00
0.00 + x = 0 + 0.01
x = 0 + 0.01

Combine like terms: 0 + 0.01 = 0.01
x = 0.01

Simplifying
x = 0.01
Solution
x = {0, 0.01}