R(x)=(400+20x)(40-1x)

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Solution for R(x)=(400+20x)(40-1x) equation:


Simplifying
R(x) = (400 + 20x)(40 + -1x)

Multiply R * x
xR = (400 + 20x)(40 + -1x)

Multiply (400 + 20x) * (40 + -1x)
xR = (400(40 + -1x) + 20x * (40 + -1x))
xR = ((40 * 400 + -1x * 400) + 20x * (40 + -1x))
xR = ((16000 + -400x) + 20x * (40 + -1x))
xR = (16000 + -400x + (40 * 20x + -1x * 20x))
xR = (16000 + -400x + (800x + -20x2))

Combine like terms: -400x + 800x = 400x
xR = (16000 + 400x + -20x2)

Solving
xR = 16000 + 400x + -20x2

Solving for variable 'x'.

Reorder the terms:
-16000 + -400x + xR + 20x2 = 16000 + 400x + -20x2 + -16000 + -400x + 20x2

Reorder the terms:
-16000 + -400x + xR + 20x2 = 16000 + -16000 + 400x + -400x + -20x2 + 20x2

Combine like terms: 16000 + -16000 = 0
-16000 + -400x + xR + 20x2 = 0 + 400x + -400x + -20x2 + 20x2
-16000 + -400x + xR + 20x2 = 400x + -400x + -20x2 + 20x2

Combine like terms: 400x + -400x = 0
-16000 + -400x + xR + 20x2 = 0 + -20x2 + 20x2
-16000 + -400x + xR + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-16000 + -400x + xR + 20x2 = 0

The solution to this equation could not be determined.

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