f(x)=2(x-1)2+3

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Solution for f(x)=2(x-1)2+3 equation: 


Simplifying
f(x) = 2(x + -1) * 2 + 3

Multiply f * x
fx = 2(x + -1) * 2 + 3

Reorder the terms:
fx = 2(-1 + x) * 2 + 3

Reorder the terms for easier multiplication:
fx = 2 * 2(-1 + x) + 3

Multiply 2 * 2
fx = 4(-1 + x) + 3
fx = (-1 * 4 + x * 4) + 3
fx = (-4 + 4x) + 3

Reorder the terms:
fx = -4 + 3 + 4x

Combine like terms: -4 + 3 = -1
fx = -1 + 4x

Solving
fx = -1 + 4x

Solving for variable 'f'.

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

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

Simplifying
f = -1x-1 + 4

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

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