f(6)=(x-3)(x-3)+1

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Solution for f(6)=(x-3)(x-3)+1 equation: 


Simplifying
f(6) = (x + -3)(x + -3) + 1

Reorder the terms for easier multiplication:
6f = (x + -3)(x + -3) + 1

Reorder the terms:
6f = (-3 + x)(x + -3) + 1

Reorder the terms:
6f = (-3 + x)(-3 + x) + 1

Multiply (-3 + x) * (-3 + x)
6f = (-3(-3 + x) + x(-3 + x)) + 1
6f = ((-3 * -3 + x * -3) + x(-3 + x)) + 1
6f = ((9 + -3x) + x(-3 + x)) + 1
6f = (9 + -3x + (-3 * x + x * x)) + 1
6f = (9 + -3x + (-3x + x2)) + 1

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

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

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

Solving
6f = 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 '6'.
f = 1.666666667 + -1x + 0.1666666667x2

Simplifying
f = 1.666666667 + -1x + 0.1666666667x2

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