g(3x)=3(3x)2+18(3x)-14

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Solution for g(3x)=3(3x)2+18(3x)-14 equation: 


Simplifying
g(3x) = 3(3x) * 2 + 18(3x) + -14

Remove parenthesis around (3x)
g * 3x = 3(3x) * 2 + 18(3x) + -14

Reorder the terms for easier multiplication:
3g * x = 3(3x) * 2 + 18(3x) + -14

Multiply g * x
3gx = 3(3x) * 2 + 18(3x) + -14

Remove parenthesis around (3x)
3gx = 3 * 3x * 2 + 18(3x) + -14

Reorder the terms for easier multiplication:
3gx = 3 * 3 * 2x + 18(3x) + -14

Multiply 3 * 3
3gx = 9 * 2x + 18(3x) + -14

Multiply 9 * 2
3gx = 18x + 18(3x) + -14

Remove parenthesis around (3x)
3gx = 18x + 18 * 3x + -14

Multiply 18 * 3
3gx = 18x + 54x + -14

Reorder the terms:
3gx = -14 + 18x + 54x

Combine like terms: 18x + 54x = 72x
3gx = -14 + 72x

Solving
3gx = -14 + 72x

Solving for variable 'g'.

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

Divide each side by '3x'.
g = -4.666666667x-1 + 24

Simplifying
g = -4.666666667x-1 + 24

Reorder the terms:
g = 24 + -4.666666667x-1

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