f(x)=2(x-1)(x-3)

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Solution for f(x)=2(x-1)(x-3) equation: 


Simplifying
f(x) = 2(x + -1)(x + -3)

Multiply f * x
fx = 2(x + -1)(x + -3)

Reorder the terms:
fx = 2(-1 + x)(x + -3)

Reorder the terms:
fx = 2(-1 + x)(-3 + x)

Multiply (-1 + x) * (-3 + x)
fx = 2(-1(-3 + x) + x(-3 + x))
fx = 2((-3 * -1 + x * -1) + x(-3 + x))
fx = 2((3 + -1x) + x(-3 + x))
fx = 2(3 + -1x + (-3 * x + x * x))
fx = 2(3 + -1x + (-3x + x2))

Combine like terms: -1x + -3x = -4x
fx = 2(3 + -4x + x2)
fx = (3 * 2 + -4x * 2 + x2 * 2)
fx = (6 + -8x + 2x2)

Solving
fx = 6 + -8x + 2x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 6x-1 + -8 + 2x

Simplifying
f = 6x-1 + -8 + 2x

Reorder the terms:
f = -8 + 6x-1 + 2x

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