f(x)=(x-4)(x-4)+5

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Solution for f(x)=(x-4)(x-4)+5 equation: 


Simplifying
f(x) = (x + -4)(x + -4) + 5

Multiply f * x
fx = (x + -4)(x + -4) + 5

Reorder the terms:
fx = (-4 + x)(x + -4) + 5

Reorder the terms:
fx = (-4 + x)(-4 + x) + 5

Multiply (-4 + x) * (-4 + x)
fx = (-4(-4 + x) + x(-4 + x)) + 5
fx = ((-4 * -4 + x * -4) + x(-4 + x)) + 5
fx = ((16 + -4x) + x(-4 + x)) + 5
fx = (16 + -4x + (-4 * x + x * x)) + 5
fx = (16 + -4x + (-4x + x2)) + 5

Combine like terms: -4x + -4x = -8x
fx = (16 + -8x + x2) + 5

Reorder the terms:
fx = 16 + 5 + -8x + x2

Combine like terms: 16 + 5 = 21
fx = 21 + -8x + x2

Solving
fx = 21 + -8x + 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 = 21x-1 + -8 + x

Simplifying
f = 21x-1 + -8 + x

Reorder the terms:
f = -8 + 21x-1 + x

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