R(-2)=(10+5x)(800-40x)

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Solution for R(-2)=(10+5x)(800-40x) equation: 


Simplifying
R(-2) = (10 + 5x)(800 + -40x)

Reorder the terms for easier multiplication:
-2R = (10 + 5x)(800 + -40x)

Multiply (10 + 5x) * (800 + -40x)
-2R = (10(800 + -40x) + 5x * (800 + -40x))
-2R = ((800 * 10 + -40x * 10) + 5x * (800 + -40x))
-2R = ((8000 + -400x) + 5x * (800 + -40x))
-2R = (8000 + -400x + (800 * 5x + -40x * 5x))
-2R = (8000 + -400x + (4000x + -200x2))

Combine like terms: -400x + 4000x = 3600x
-2R = (8000 + 3600x + -200x2)

Solving
-2R = 8000 + 3600x + -200x2

Solving for variable 'R'.

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

Divide each side by '-2'.
R = -4000 + -1800x + 100x2

Simplifying
R = -4000 + -1800x + 100x2

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