f(f-g)2=

Solution for f(f-g)2= equation:

Simplifying
f(f + -1g) * 2 = 0

Reorder the terms for easier multiplication:
2f(f + -1g) = 0
(f * 2f + -1g * 2f) = 0

Reorder the terms:
(-2fg + 2f2) = 0
(-2fg + 2f2) = 0

Solving
-2fg + 2f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2f'.
2f(-1g + f) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0
Subproblem 2
Set the factor '(-1g + f)' equal to zero and attempt to solve:

Simplifying
-1g + f = 0

Reorder the terms:
f + -1g = 0

Solving
f + -1g = 0

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

Add 'g' to each side of the equation.
f + -1g + g = 0 + g

Combine like terms: -1g + g = 0
f + 0 = 0 + g
f = 0 + g
Remove the zero:
f = g

Simplifying
f = g
Solution
f = {0, g}