f(x)=(x+2)(x-3)-6

Solution for f(x)=(x+2)(x-3)-6 equation:

Simplifying
f(x) = (x + 2)(x + -3) + -6

Multiply f * x
fx = (x + 2)(x + -3) + -6

Reorder the terms:
fx = (2 + x)(x + -3) + -6

Reorder the terms:
fx = (2 + x)(-3 + x) + -6

Multiply (2 + x) * (-3 + x)
fx = (2(-3 + x) + x(-3 + x)) + -6
fx = ((-3 * 2 + x * 2) + x(-3 + x)) + -6
fx = ((-6 + 2x) + x(-3 + x)) + -6
fx = (-6 + 2x + (-3 * x + x * x)) + -6
fx = (-6 + 2x + (-3x + x2)) + -6

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

Reorder the terms:
fx = -6 + -6 + -1x + x2

Combine like terms: -6 + -6 = -12
fx = -12 + -1x + x2

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

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

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