g(x)=4tg(3x-2)

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Solution for g(x)=4tg(3x-2) equation: 


Simplifying
g(x) = 4tg(3x + -2)

Multiply g * x
gx = 4tg(3x + -2)

Reorder the terms:
gx = 4gt(-2 + 3x)
gx = (-2 * 4gt + 3x * 4gt)
gx = (-8gt + 12gtx)

Solving
gx = -8gt + 12gtx

Solving for variable 'g'.

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

Add '8gt' to each side of the equation.
8gt + gx = -8gt + 8gt + 12gtx

Combine like terms: -8gt + 8gt = 0
8gt + gx = 0 + 12gtx
8gt + gx = 12gtx

Add '-12gtx' to each side of the equation.
8gt + -12gtx + gx = 12gtx + -12gtx

Combine like terms: 12gtx + -12gtx = 0
8gt + -12gtx + gx = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(8t + -12tx + x) = 0


Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

Subproblem 2
Set the factor '(8t + -12tx + x)' equal to zero and attempt to solve:

Simplifying
8t + -12tx + x = 0

Solving
8t + -12tx + x = 0

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

Add '-8t' to each side of the equation.
8t + -12tx + -8t + x = 0 + -8t

Reorder the terms:
8t + -8t + -12tx + x = 0 + -8t

Combine like terms: 8t + -8t = 0
0 + -12tx + x = 0 + -8t
-12tx + x = 0 + -8t
Remove the zero:
-12tx + x = -8t

Add '12tx' to each side of the equation.
-12tx + 12tx + x = -8t + 12tx

Combine like terms: -12tx + 12tx = 0
0 + x = -8t + 12tx
x = -8t + 12tx

Add '-1x' to each side of the equation.
x + -1x = -8t + 12tx + -1x

Combine like terms: x + -1x = 0
0 = -8t + 12tx + -1x

Simplifying
0 = -8t + 12tx + -1x

The solution to this equation could not be determined.

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

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