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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