f(x)=3(x+10)(x-8)

Solution for f(x)=3(x+10)(x-8) equation:

Simplifying
f(x) = 3(x + 10)(x + -8)

Multiply f * x
fx = 3(x + 10)(x + -8)

Reorder the terms:
fx = 3(10 + x)(x + -8)

Reorder the terms:
fx = 3(10 + x)(-8 + x)

Multiply (10 + x) * (-8 + x)
fx = 3(10(-8 + x) + x(-8 + x))
fx = 3((-8 * 10 + x * 10) + x(-8 + x))
fx = 3((-80 + 10x) + x(-8 + x))
fx = 3(-80 + 10x + (-8 * x + x * x))
fx = 3(-80 + 10x + (-8x + x2))

Combine like terms: 10x + -8x = 2x
fx = 3(-80 + 2x + x2)
fx = (-80 * 3 + 2x * 3 + x2 * 3)
fx = (-240 + 6x + 3x2)

Solving
fx = -240 + 6x + 3x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -240x-1 + 6 + 3x

Simplifying
f = -240x-1 + 6 + 3x

Reorder the terms:
f = 6 + -240x-1 + 3x