f(x)=(x-4)(4-x)

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


Simplifying
f(x) = (x + -4)(4 + -1x)

Multiply f * x
fx = (x + -4)(4 + -1x)

Reorder the terms:
fx = (-4 + x)(4 + -1x)

Multiply (-4 + x) * (4 + -1x)
fx = (-4(4 + -1x) + x(4 + -1x))
fx = ((4 * -4 + -1x * -4) + x(4 + -1x))
fx = ((-16 + 4x) + x(4 + -1x))
fx = (-16 + 4x + (4 * x + -1x * x))
fx = (-16 + 4x + (4x + -1x2))

Combine like terms: 4x + 4x = 8x
fx = (-16 + 8x + -1x2)

Solving
fx = -16 + 8x + -1x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -16x-1 + 8 + -1x

Simplifying
f = -16x-1 + 8 + -1x

Reorder the terms:
f = 8 + -16x-1 + -1x

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