(2000-3P)XP=2000P-3P^2

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Solution for (2000-3P)XP=2000P-3P^2 equation: 


Simplifying
(2000 + -3P) * XP = 2000P + -3P2

Reorder the terms for easier multiplication:
PX(2000 + -3P) = 2000P + -3P2
(2000 * PX + -3P * PX) = 2000P + -3P2
(2000PX + -3P2X) = 2000P + -3P2

Solving
2000PX + -3P2X = 2000P + -3P2

Solving for variable 'P'.

Reorder the terms:
-2000P + 2000PX + 3P2 + -3P2X = 2000P + -3P2 + -2000P + 3P2

Reorder the terms:
-2000P + 2000PX + 3P2 + -3P2X = 2000P + -2000P + -3P2 + 3P2

Combine like terms: 2000P + -2000P = 0
-2000P + 2000PX + 3P2 + -3P2X = 0 + -3P2 + 3P2
-2000P + 2000PX + 3P2 + -3P2X = -3P2 + 3P2

Combine like terms: -3P2 + 3P2 = 0
-2000P + 2000PX + 3P2 + -3P2X = 0

Factor out the Greatest Common Factor (GCF), 'P'.
P(-2000 + 2000X + 3P + -3PX) = 0


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

Simplifying
P = 0

Solving
P = 0

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

Simplifying
P = 0

Subproblem 2
Set the factor '(-2000 + 2000X + 3P + -3PX)' equal to zero and attempt to solve:

Simplifying
-2000 + 2000X + 3P + -3PX = 0

Reorder the terms:
-2000 + 3P + -3PX + 2000X = 0

Solving
-2000 + 3P + -3PX + 2000X = 0

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

Add '2000' to each side of the equation.
-2000 + 3P + -3PX + 2000 + 2000X = 0 + 2000

Reorder the terms:
-2000 + 2000 + 3P + -3PX + 2000X = 0 + 2000

Combine like terms: -2000 + 2000 = 0
0 + 3P + -3PX + 2000X = 0 + 2000
3P + -3PX + 2000X = 0 + 2000

Combine like terms: 0 + 2000 = 2000
3P + -3PX + 2000X = 2000

Add '-2000X' to each side of the equation.
3P + -3PX + 2000X + -2000X = 2000 + -2000X

Combine like terms: 2000X + -2000X = 0
3P + -3PX + 0 = 2000 + -2000X
3P + -3PX = 2000 + -2000X

The solution to this equation could not be determined.

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

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