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

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


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

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

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

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

Multiply (-3 + x) * (-3 + x)
fx = (-3(-3 + x) + x(-3 + x)) + 1
fx = ((-3 * -3 + x * -3) + x(-3 + x)) + 1
fx = ((9 + -3x) + x(-3 + x)) + 1
fx = (9 + -3x + (-3 * x + x * x)) + 1
fx = (9 + -3x + (-3x + x2)) + 1

Combine like terms: -3x + -3x = -6x
fx = (9 + -6x + x2) + 1

Reorder the terms:
fx = 9 + 1 + -6x + x2

Combine like terms: 9 + 1 = 10
fx = 10 + -6x + x2

Solving
fx = 10 + -6x + 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 = 10x-1 + -6 + x

Simplifying
f = 10x-1 + -6 + x

Reorder the terms:
f = -6 + 10x-1 + x

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