G(x)=4f(3x)

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Solution for G(x)=4f(3x) equation: 


Simplifying
G(x) = 4f(3x)

Multiply G * x
xG = 4f(3x)

Remove parenthesis around (3x)
xG = 4f * 3x

Reorder the terms for easier multiplication:
xG = 4 * 3f * x

Multiply 4 * 3
xG = 12f * x

Multiply f * x
xG = 12fx

Solving
xG = 12fx

Solving for variable 'x'.

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

Add '-12fx' to each side of the equation.
-12fx + xG = 12fx + -12fx

Combine like terms: 12fx + -12fx = 0
-12fx + xG = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12f + G) = 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 '(-12f + G)' equal to zero and attempt to solve:

Simplifying
-12f + G = 0

Reorder the terms:
G + -12f = 0

Solving
G + -12f = 0

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

Add '-1G' to each side of the equation.
G + -1G + -12f = 0 + -1G

Combine like terms: G + -1G = 0
0 + -12f = 0 + -1G
-12f = 0 + -1G
Remove the zero:
-12f = -1G

Add '12f' to each side of the equation.
-12f + 12f = -1G + 12f

Combine like terms: -12f + 12f = 0
0 = -1G + 12f

Simplifying
0 = -1G + 12f

The solution to this equation could not be determined.

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

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