R(x)=2000x+20x^2-x^3

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Solution for R(x)=2000x+20x^2-x^3 equation: 


Simplifying
R(x) = 2000x + 20x2 + -1x3

Multiply R * x
xR = 2000x + 20x2 + -1x3

Solving
xR = 2000x + 20x2 + -1x3

Solving for variable 'x'.

Reorder the terms:
-2000x + xR + -20x2 + x3 = 2000x + 20x2 + -1x3 + -2000x + -20x2 + x3

Reorder the terms:
-2000x + xR + -20x2 + x3 = 2000x + -2000x + 20x2 + -20x2 + -1x3 + x3

Combine like terms: 2000x + -2000x = 0
-2000x + xR + -20x2 + x3 = 0 + 20x2 + -20x2 + -1x3 + x3
-2000x + xR + -20x2 + x3 = 20x2 + -20x2 + -1x3 + x3

Combine like terms: 20x2 + -20x2 = 0
-2000x + xR + -20x2 + x3 = 0 + -1x3 + x3
-2000x + xR + -20x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-2000x + xR + -20x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2000 + R + -20x + x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-2000 + R + -20x + x2)' equal to zero and attempt to solve:

Simplifying
-2000 + R + -20x + x2 = 0

Solving
-2000 + R + -20x + x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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