f(f-7)=0

Solution for f(f-7)=0 equation:

Simplifying
f(f + -7) = 0

Reorder the terms:
f(-7 + f) = 0
(-7 * f + f * f) = 0
(-7f + f2) = 0

Solving
-7f + f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(-7 + f) = 0

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 '(-7 + f)' equal to zero and attempt to solve:

Simplifying
-7 + f = 0

Solving
-7 + f = 0

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

Add '7' to each side of the equation.
-7 + 7 + f = 0 + 7

Combine like terms: -7 + 7 = 0
0 + f = 0 + 7
f = 0 + 7

Combine like terms: 0 + 7 = 7
f = 7

Simplifying
f = 7
Solution
f = {0, 7}