g(x)=3(x-2)(x-2)-10

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Solution for g(x)=3(x-2)(x-2)-10 equation: 


Simplifying
g(x) = 3(x + -2)(x + -2) + -10

Multiply g * x
gx = 3(x + -2)(x + -2) + -10

Reorder the terms:
gx = 3(-2 + x)(x + -2) + -10

Reorder the terms:
gx = 3(-2 + x)(-2 + x) + -10

Multiply (-2 + x) * (-2 + x)
gx = 3(-2(-2 + x) + x(-2 + x)) + -10
gx = 3((-2 * -2 + x * -2) + x(-2 + x)) + -10
gx = 3((4 + -2x) + x(-2 + x)) + -10
gx = 3(4 + -2x + (-2 * x + x * x)) + -10
gx = 3(4 + -2x + (-2x + x2)) + -10

Combine like terms: -2x + -2x = -4x
gx = 3(4 + -4x + x2) + -10
gx = (4 * 3 + -4x * 3 + x2 * 3) + -10
gx = (12 + -12x + 3x2) + -10

Reorder the terms:
gx = 12 + -10 + -12x + 3x2

Combine like terms: 12 + -10 = 2
gx = 2 + -12x + 3x2

Solving
gx = 2 + -12x + 3x2

Solving for variable 'g'.

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

Divide each side by 'x'.
g = 2x-1 + -12 + 3x

Simplifying
g = 2x-1 + -12 + 3x

Reorder the terms:
g = -12 + 2x-1 + 3x

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