x=.25x^2

Solution for x=.25x^2 equation:

Simplifying
x = 0.25x2

Solving
x = 0.25x2

Solving for variable 'x'.

Combine like terms: 0.25x2 + -0.25x2 = 0.00
x + -0.25x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -0.25x) = 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 '(1 + -0.25x)' equal to zero and attempt to solve:

Simplifying
1 + -0.25x = 0

Solving
1 + -0.25x = 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 + -0.25x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x = 0 + -1
-0.25x = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25x = -1

Divide each side by '-0.25'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4}