r=(100-x)(300+20x)

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Solution for r=(100-x)(300+20x) equation: 


Simplifying
r = (100 + -1x)(300 + 20x)

Multiply (100 + -1x) * (300 + 20x)
r = (100(300 + 20x) + -1x * (300 + 20x))
r = ((300 * 100 + 20x * 100) + -1x * (300 + 20x))
r = ((30000 + 2000x) + -1x * (300 + 20x))
r = (30000 + 2000x + (300 * -1x + 20x * -1x))
r = (30000 + 2000x + (-300x + -20x2))

Combine like terms: 2000x + -300x = 1700x
r = (30000 + 1700x + -20x2)

Solving
r = 30000 + 1700x + -20x2

Solving for variable 'r'.

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

Simplifying
r = 30000 + 1700x + -20x2

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