F(x)=0.25x^2

Solution for F(x)=0.25x^2 equation:

Simplifying
F(x) = 0.25x2

Multiply F * x
xF = 0.25x2

Solving
xF = 0.25x2

Solving for variable 'x'.

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

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

Simplifying
F + -0.25x = 0

Solving
F + -0.25x = 0

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

Add '-1F' to each side of the equation.
F + -1F + -0.25x = 0 + -1F

Combine like terms: F + -1F = 0
0 + -0.25x = 0 + -1F
-0.25x = 0 + -1F
Remove the zero:
-0.25x = -1F

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

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