f(x)=-(x-3)(x+11)

Solution for f(x)=-(x-3)(x+11) equation:

Simplifying
f(x) = -1(x + -3)(x + 11)

Multiply f * x
fx = -1(x + -3)(x + 11)

Reorder the terms:
fx = -1(-3 + x)(x + 11)

Reorder the terms:
fx = -1(-3 + x)(11 + x)

Multiply (-3 + x) * (11 + x)
fx = -1(-3(11 + x) + x(11 + x))
fx = -1((11 * -3 + x * -3) + x(11 + x))
fx = -1((-33 + -3x) + x(11 + x))
fx = -1(-33 + -3x + (11 * x + x * x))
fx = -1(-33 + -3x + (11x + x2))

Combine like terms: -3x + 11x = 8x
fx = -1(-33 + 8x + x2)
fx = (-33 * -1 + 8x * -1 + x2 * -1)
fx = (33 + -8x + -1x2)

Solving
fx = 33 + -8x + -1x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 33x-1 + -8 + -1x

Simplifying
f = 33x-1 + -8 + -1x

Reorder the terms:
f = -8 + 33x-1 + -1x