f(x)=(x-5)(x-6)

Solution for f(x)=(x-5)(x-6) equation:

Simplifying
f(x) = (x + -5)(x + -6)

Multiply f * x
fx = (x + -5)(x + -6)

Reorder the terms:
fx = (-5 + x)(x + -6)

Reorder the terms:
fx = (-5 + x)(-6 + x)

Multiply (-5 + x) * (-6 + x)
fx = (-5(-6 + x) + x(-6 + x))
fx = ((-6 * -5 + x * -5) + x(-6 + x))
fx = ((30 + -5x) + x(-6 + x))
fx = (30 + -5x + (-6 * x + x * x))
fx = (30 + -5x + (-6x + x2))

Combine like terms: -5x + -6x = -11x
fx = (30 + -11x + x2)

Solving
fx = 30 + -11x + 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 = 30x-1 + -11 + x

Simplifying
f = 30x-1 + -11 + x

Reorder the terms:
f = -11 + 30x-1 + x