f(x)=-2(x-3)(x-8)

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Solution for f(x)=-2(x-3)(x-8) equation: 


Simplifying
f(x) = -2(x + -3)(x + -8)

Multiply f * x
fx = -2(x + -3)(x + -8)

Reorder the terms:
fx = -2(-3 + x)(x + -8)

Reorder the terms:
fx = -2(-3 + x)(-8 + x)

Multiply (-3 + x) * (-8 + x)
fx = -2(-3(-8 + x) + x(-8 + x))
fx = -2((-8 * -3 + x * -3) + x(-8 + x))
fx = -2((24 + -3x) + x(-8 + x))
fx = -2(24 + -3x + (-8 * x + x * x))
fx = -2(24 + -3x + (-8x + x2))

Combine like terms: -3x + -8x = -11x
fx = -2(24 + -11x + x2)
fx = (24 * -2 + -11x * -2 + x2 * -2)
fx = (-48 + 22x + -2x2)

Solving
fx = -48 + 22x + -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 = -48x-1 + 22 + -2x

Simplifying
f = -48x-1 + 22 + -2x

Reorder the terms:
f = 22 + -48x-1 + -2x

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