f(x)=-(x-3)(x-17)

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Solution for f(x)=-(x-3)(x-17) equation: 


Simplifying
f(x) = -1(x + -3)(x + -17)

Multiply f * x
fx = -1(x + -3)(x + -17)

Reorder the terms:
fx = -1(-3 + x)(x + -17)

Reorder the terms:
fx = -1(-3 + x)(-17 + x)

Multiply (-3 + x) * (-17 + x)
fx = -1(-3(-17 + x) + x(-17 + x))
fx = -1((-17 * -3 + x * -3) + x(-17 + x))
fx = -1((51 + -3x) + x(-17 + x))
fx = -1(51 + -3x + (-17 * x + x * x))
fx = -1(51 + -3x + (-17x + x2))

Combine like terms: -3x + -17x = -20x
fx = -1(51 + -20x + x2)
fx = (51 * -1 + -20x * -1 + x2 * -1)
fx = (-51 + 20x + -1x2)

Solving
fx = -51 + 20x + -1x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -51x-1 + 20 + -1x

Simplifying
f = -51x-1 + 20 + -1x

Reorder the terms:
f = 20 + -51x-1 + -1x

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