r(x)=(100-5x)(.40-2x)

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Solution for r(x)=(100-5x)(.40-2x) equation: 


Simplifying
r(x) = (100 + -5x)(0.40 + -2x)

Multiply r * x
rx = (100 + -5x)(0.40 + -2x)

Multiply (100 + -5x) * (0.40 + -2x)
rx = (100(0.40 + -2x) + -5x * (0.40 + -2x))
rx = ((0.40 * 100 + -2x * 100) + -5x * (0.40 + -2x))
rx = ((40 + -200x) + -5x * (0.40 + -2x))
rx = (40 + -200x + (0.40 * -5x + -2x * -5x))
rx = (40 + -200x + (-2x + 10x2))

Combine like terms: -200x + -2x = -202x
rx = (40 + -202x + 10x2)

Solving
rx = 40 + -202x + 10x2

Solving for variable 'r'.

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

Divide each side by 'x'.
r = 40x-1 + -202 + 10x

Simplifying
r = 40x-1 + -202 + 10x

Reorder the terms:
r = -202 + 40x-1 + 10x

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