f(x)=3(x+2)2+6

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Solution for f(x)=3(x+2)2+6 equation: 


Simplifying
f(x) = 3(x + 2) * 2 + 6

Multiply f * x
fx = 3(x + 2) * 2 + 6

Reorder the terms:
fx = 3(2 + x) * 2 + 6

Reorder the terms for easier multiplication:
fx = 3 * 2(2 + x) + 6

Multiply 3 * 2
fx = 6(2 + x) + 6
fx = (2 * 6 + x * 6) + 6
fx = (12 + 6x) + 6

Reorder the terms:
fx = 12 + 6 + 6x

Combine like terms: 12 + 6 = 18
fx = 18 + 6x

Solving
fx = 18 + 6x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 18x-1 + 6

Simplifying
f = 18x-1 + 6

Reorder the terms:
f = 6 + 18x-1

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