f(x)=2(x-3)(x+10)

Solution for f(x)=2(x-3)(x+10) equation:

Simplifying
f(x) = 2(x + -3)(x + 10)

Multiply f * x
fx = 2(x + -3)(x + 10)

Reorder the terms:
fx = 2(-3 + x)(x + 10)

Reorder the terms:
fx = 2(-3 + x)(10 + x)

Multiply (-3 + x) * (10 + x)
fx = 2(-3(10 + x) + x(10 + x))
fx = 2((10 * -3 + x * -3) + x(10 + x))
fx = 2((-30 + -3x) + x(10 + x))
fx = 2(-30 + -3x + (10 * x + x * x))
fx = 2(-30 + -3x + (10x + x2))

Combine like terms: -3x + 10x = 7x
fx = 2(-30 + 7x + x2)
fx = (-30 * 2 + 7x * 2 + x2 * 2)
fx = (-60 + 14x + 2x2)

Solving
fx = -60 + 14x + 2x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -60x-1 + 14 + 2x

Simplifying
f = -60x-1 + 14 + 2x

Reorder the terms:
f = 14 + -60x-1 + 2x