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 = 1x
fx = (-30 + 1x + x2)

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

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

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