f(x)=4(x-1)2+12

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Solution for f(x)=4(x-1)2+12 equation: 


Simplifying
f(x) = 4(x + -1) * 2 + 12

Multiply f * x
fx = 4(x + -1) * 2 + 12

Reorder the terms:
fx = 4(-1 + x) * 2 + 12

Reorder the terms for easier multiplication:
fx = 4 * 2(-1 + x) + 12

Multiply 4 * 2
fx = 8(-1 + x) + 12
fx = (-1 * 8 + x * 8) + 12
fx = (-8 + 8x) + 12

Reorder the terms:
fx = -8 + 12 + 8x

Combine like terms: -8 + 12 = 4
fx = 4 + 8x

Solving
fx = 4 + 8x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 4x-1 + 8

Simplifying
f = 4x-1 + 8

Reorder the terms:
f = 8 + 4x-1

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