H(x)=4f(x)

Solution for H(x)=4f(x) equation:

Simplifying
H(x) = 4f(x)

Multiply H * x
xH = 4f(x)

Multiply f * x
xH = 4fx

Solving
xH = 4fx

Solving for variable 'x'.

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

Add '-4fx' to each side of the equation.
-4fx + xH = 4fx + -4fx

Combine like terms: 4fx + -4fx = 0
-4fx + xH = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4f + H) = 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 '(-4f + H)' equal to zero and attempt to solve:

Simplifying
-4f + H = 0

Reorder the terms:
H + -4f = 0

Solving
H + -4f = 0

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

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

Combine like terms: H + -1H = 0
0 + -4f = 0 + -1H
-4f = 0 + -1H
Remove the zero:
-4f = -1H

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

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

Simplifying
0 = -1H + 4f

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}