f(x)=3(x-2)2-5

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


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

Multiply f * x
fx = 3(x + -2) * 2 + -5

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

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

Multiply 3 * 2
fx = 6(-2 + x) + -5
fx = (-2 * 6 + x * 6) + -5
fx = (-12 + 6x) + -5

Reorder the terms:
fx = -12 + -5 + 6x

Combine like terms: -12 + -5 = -17
fx = -17 + 6x

Solving
fx = -17 + 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 = -17x-1 + 6

Simplifying
f = -17x-1 + 6

Reorder the terms:
f = 6 + -17x-1

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