r=(1-0.1x)(3000+500x)

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Solution for r=(1-0.1x)(3000+500x) equation: 


Simplifying
r = (1 + -0.1x)(3000 + 500x)

Multiply (1 + -0.1x) * (3000 + 500x)
r = (1(3000 + 500x) + -0.1x * (3000 + 500x))
r = ((3000 * 1 + 500x * 1) + -0.1x * (3000 + 500x))
r = ((3000 + 500x) + -0.1x * (3000 + 500x))
r = (3000 + 500x + (3000 * -0.1x + 500x * -0.1x))
r = (3000 + 500x + (-300x + -50x2))

Combine like terms: 500x + -300x = 200x
r = (3000 + 200x + -50x2)

Solving
r = 3000 + 200x + -50x2

Solving for variable 'r'.

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

Simplifying
r = 3000 + 200x + -50x2

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