(P-2)x^2-(3p-2)x+2p=0

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Solution for (P-2)x^2-(3p-2)x+2p=0 equation: 


Simplifying
(P + -2) * x2 + -1(3p + -2) * x + 2p = 0

Reorder the terms:
(-2 + P) * x2 + -1(3p + -2) * x + 2p = 0

Reorder the terms for easier multiplication:
x2(-2 + P) + -1(3p + -2) * x + 2p = 0
(-2 * x2 + P * x2) + -1(3p + -2) * x + 2p = 0
(-2x2 + x2P) + -1(3p + -2) * x + 2p = 0

Reorder the terms:
-2x2 + x2P + -1(-2 + 3p) * x + 2p = 0

Reorder the terms for easier multiplication:
-2x2 + x2P + -1x(-2 + 3p) + 2p = 0
-2x2 + x2P + (-2 * -1x + 3p * -1x) + 2p = 0

Reorder the terms:
-2x2 + x2P + (-3px + 2x) + 2p = 0
-2x2 + x2P + (-3px + 2x) + 2p = 0

Reorder the terms:
2p + -3px + 2x + -2x2 + x2P = 0

Solving
2p + -3px + 2x + -2x2 + x2P = 0

Solving for variable 'p'.

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

Add '-2x' to each side of the equation.
2p + -3px + 2x + -2x2 + -2x + x2P = 0 + -2x

Reorder the terms:
2p + -3px + 2x + -2x + -2x2 + x2P = 0 + -2x

Combine like terms: 2x + -2x = 0
2p + -3px + 0 + -2x2 + x2P = 0 + -2x
2p + -3px + -2x2 + x2P = 0 + -2x
Remove the zero:
2p + -3px + -2x2 + x2P = -2x

Add '2x2' to each side of the equation.
2p + -3px + -2x2 + 2x2 + x2P = -2x + 2x2

Combine like terms: -2x2 + 2x2 = 0
2p + -3px + 0 + x2P = -2x + 2x2
2p + -3px + x2P = -2x + 2x2

Add '-1x2P' to each side of the equation.
2p + -3px + x2P + -1x2P = -2x + 2x2 + -1x2P

Combine like terms: x2P + -1x2P = 0
2p + -3px + 0 = -2x + 2x2 + -1x2P
2p + -3px = -2x + 2x2 + -1x2P

Reorder the terms:
2p + -3px + 2x + -2x2 + x2P = -2x + 2x + 2x2 + -2x2 + -1x2P + x2P

Combine like terms: -2x + 2x = 0
2p + -3px + 2x + -2x2 + x2P = 0 + 2x2 + -2x2 + -1x2P + x2P
2p + -3px + 2x + -2x2 + x2P = 2x2 + -2x2 + -1x2P + x2P

Combine like terms: 2x2 + -2x2 = 0
2p + -3px + 2x + -2x2 + x2P = 0 + -1x2P + x2P
2p + -3px + 2x + -2x2 + x2P = -1x2P + x2P

Combine like terms: -1x2P + x2P = 0
2p + -3px + 2x + -2x2 + x2P = 0

The solution to this equation could not be determined.

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