g(x)=3(x+5)2-2

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Solution for g(x)=3(x+5)2-2 equation: 


Simplifying
g(x) = 3(x + 5) * 2 + -2

Multiply g * x
gx = 3(x + 5) * 2 + -2

Reorder the terms:
gx = 3(5 + x) * 2 + -2

Reorder the terms for easier multiplication:
gx = 3 * 2(5 + x) + -2

Multiply 3 * 2
gx = 6(5 + x) + -2
gx = (5 * 6 + x * 6) + -2
gx = (30 + 6x) + -2

Reorder the terms:
gx = 30 + -2 + 6x

Combine like terms: 30 + -2 = 28
gx = 28 + 6x

Solving
gx = 28 + 6x

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 28x-1 + 6

Simplifying
g = 28x-1 + 6

Reorder the terms:
g = 6 + 28x-1

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