f(x)=2(x-1)(x-6)

Solution for f(x)=2(x-1)(x-6) equation:

Simplifying
f(x) = 2(x + -1)(x + -6)

Multiply f * x
fx = 2(x + -1)(x + -6)

Reorder the terms:
fx = 2(-1 + x)(x + -6)

Reorder the terms:
fx = 2(-1 + x)(-6 + x)

Multiply (-1 + x) * (-6 + x)
fx = 2(-1(-6 + x) + x(-6 + x))
fx = 2((-6 * -1 + x * -1) + x(-6 + x))
fx = 2((6 + -1x) + x(-6 + x))
fx = 2(6 + -1x + (-6 * x + x * x))
fx = 2(6 + -1x + (-6x + x2))

Combine like terms: -1x + -6x = -7x
fx = 2(6 + -7x + x2)
fx = (6 * 2 + -7x * 2 + x2 * 2)
fx = (12 + -14x + 2x2)

Solving
fx = 12 + -14x + 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 = 12x-1 + -14 + 2x

Simplifying
f = 12x-1 + -14 + 2x

Reorder the terms:
f = -14 + 12x-1 + 2x