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

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


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

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

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

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

Multiply (-2 + x) * (-2 + x)
fx = (-2(-2 + x) + x(-2 + x)) + 1
fx = ((-2 * -2 + x * -2) + x(-2 + x)) + 1
fx = ((4 + -2x) + x(-2 + x)) + 1
fx = (4 + -2x + (-2 * x + x * x)) + 1
fx = (4 + -2x + (-2x + x2)) + 1

Combine like terms: -2x + -2x = -4x
fx = (4 + -4x + x2) + 1

Reorder the terms:
fx = 4 + 1 + -4x + x2

Combine like terms: 4 + 1 = 5
fx = 5 + -4x + x2

Solving
fx = 5 + -4x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5x-1 + -4 + x

Simplifying
f = 5x-1 + -4 + x

Reorder the terms:
f = -4 + 5x-1 + x

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