f(k)=(5k-20)(3k-21)

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Solution for f(k)=(5k-20)(3k-21) equation: 


Simplifying
f(k) = (5k + -20)(3k + -21)

Multiply f * k
fk = (5k + -20)(3k + -21)

Reorder the terms:
fk = (-20 + 5k)(3k + -21)

Reorder the terms:
fk = (-20 + 5k)(-21 + 3k)

Multiply (-20 + 5k) * (-21 + 3k)
fk = (-20(-21 + 3k) + 5k * (-21 + 3k))
fk = ((-21 * -20 + 3k * -20) + 5k * (-21 + 3k))
fk = ((420 + -60k) + 5k * (-21 + 3k))
fk = (420 + -60k + (-21 * 5k + 3k * 5k))
fk = (420 + -60k + (-105k + 15k2))

Combine like terms: -60k + -105k = -165k
fk = (420 + -165k + 15k2)

Solving
fk = 420 + -165k + 15k2

Solving for variable 'f'.

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

Divide each side by 'k'.
f = 420k-1 + -165 + 15k

Simplifying
f = 420k-1 + -165 + 15k

Reorder the terms:
f = -165 + 420k-1 + 15k

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