f(x)=4(x-2)(x-4)

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Solution for f(x)=4(x-2)(x-4) equation: 


Simplifying
f(x) = 4(x + -2)(x + -4)

Multiply f * x
fx = 4(x + -2)(x + -4)

Reorder the terms:
fx = 4(-2 + x)(x + -4)

Reorder the terms:
fx = 4(-2 + x)(-4 + x)

Multiply (-2 + x) * (-4 + x)
fx = 4(-2(-4 + x) + x(-4 + x))
fx = 4((-4 * -2 + x * -2) + x(-4 + x))
fx = 4((8 + -2x) + x(-4 + x))
fx = 4(8 + -2x + (-4 * x + x * x))
fx = 4(8 + -2x + (-4x + x2))

Combine like terms: -2x + -4x = -6x
fx = 4(8 + -6x + x2)
fx = (8 * 4 + -6x * 4 + x2 * 4)
fx = (32 + -24x + 4x2)

Solving
fx = 32 + -24x + 4x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 32x-1 + -24 + 4x

Simplifying
f = 32x-1 + -24 + 4x

Reorder the terms:
f = -24 + 32x-1 + 4x

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