x^2-4x=f(x)

Solution for x^2-4x=f(x) equation:

Simplifying
x2 + -4x = f(x)

Reorder the terms:
-4x + x2 = f(x)

Multiply f * x
-4x + x2 = fx

Solving
-4x + x2 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + -4x + x2 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + -4x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + -4 + x) = 0

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 '(-1f + -4 + x)' equal to zero and attempt to solve:

Simplifying
-1f + -4 + x = 0

Reorder the terms:
-4 + -1f + x = 0

Solving
-4 + -1f + x = 0

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

Add '4' to each side of the equation.
-4 + -1f + 4 + x = 0 + 4

Reorder the terms:
-4 + 4 + -1f + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1f + x = 0 + 4
-1f + x = 0 + 4

Combine like terms: 0 + 4 = 4
-1f + x = 4

Add 'f' to each side of the equation.
-1f + f + x = 4 + f

Combine like terms: -1f + f = 0
0 + x = 4 + f
x = 4 + f

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