-f(f+g)=

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

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

Reorder the terms:
(-1fg + -1f2) = 0
(-1fg + -1f2) = 0

Solving
-1fg + -1f2 = 0

Solving for variable 'f'.

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

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

Simplifying
g + f = 0

Reorder the terms:
f + g = 0

Solving
f + g = 0

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

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

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

Simplifying
f = -1g
Solution
f = {0, -1g}