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

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


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

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

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

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

Multiply 2 * 2
gx = 4(-2 + x) + 5
gx = (-2 * 4 + x * 4) + 5
gx = (-8 + 4x) + 5

Reorder the terms:
gx = -8 + 5 + 4x

Combine like terms: -8 + 5 = -3
gx = -3 + 4x

Solving
gx = -3 + 4x

Solving for variable 'g'.

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

Divide each side by 'x'.
g = -3x-1 + 4

Simplifying
g = -3x-1 + 4

Reorder the terms:
g = 4 + -3x-1

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