(P-4)x^2+(2p-4)x+p=0

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Solution for (P-4)x^2+(2p-4)x+p=0 equation: 


Simplifying
(P + -4) * x2 + (2p + -4) * x + p = 0

Reorder the terms:
(-4 + P) * x2 + (2p + -4) * x + p = 0

Reorder the terms for easier multiplication:
x2(-4 + P) + (2p + -4) * x + p = 0
(-4 * x2 + P * x2) + (2p + -4) * x + p = 0
(-4x2 + x2P) + (2p + -4) * x + p = 0

Reorder the terms:
-4x2 + x2P + (-4 + 2p) * x + p = 0

Reorder the terms for easier multiplication:
-4x2 + x2P + x(-4 + 2p) + p = 0
-4x2 + x2P + (-4 * x + 2p * x) + p = 0

Reorder the terms:
-4x2 + x2P + (2px + -4x) + p = 0
-4x2 + x2P + (2px + -4x) + p = 0

Reorder the terms:
p + 2px + -4x + -4x2 + x2P = 0

Solving
p + 2px + -4x + -4x2 + x2P = 0

Solving for variable 'p'.

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

Add '4x' to each side of the equation.
p + 2px + -4x + -4x2 + 4x + x2P = 0 + 4x

Reorder the terms:
p + 2px + -4x + 4x + -4x2 + x2P = 0 + 4x

Combine like terms: -4x + 4x = 0
p + 2px + 0 + -4x2 + x2P = 0 + 4x
p + 2px + -4x2 + x2P = 0 + 4x
Remove the zero:
p + 2px + -4x2 + x2P = 4x

Add '4x2' to each side of the equation.
p + 2px + -4x2 + 4x2 + x2P = 4x + 4x2

Combine like terms: -4x2 + 4x2 = 0
p + 2px + 0 + x2P = 4x + 4x2
p + 2px + x2P = 4x + 4x2

Add '-1x2P' to each side of the equation.
p + 2px + x2P + -1x2P = 4x + 4x2 + -1x2P

Combine like terms: x2P + -1x2P = 0
p + 2px + 0 = 4x + 4x2 + -1x2P
p + 2px = 4x + 4x2 + -1x2P

Reorder the terms:
p + 2px + -4x + -4x2 + x2P = 4x + -4x + 4x2 + -4x2 + -1x2P + x2P

Combine like terms: 4x + -4x = 0
p + 2px + -4x + -4x2 + x2P = 0 + 4x2 + -4x2 + -1x2P + x2P
p + 2px + -4x + -4x2 + x2P = 4x2 + -4x2 + -1x2P + x2P

Combine like terms: 4x2 + -4x2 = 0
p + 2px + -4x + -4x2 + x2P = 0 + -1x2P + x2P
p + 2px + -4x + -4x2 + x2P = -1x2P + x2P

Combine like terms: -1x2P + x2P = 0
p + 2px + -4x + -4x2 + x2P = 0

The solution to this equation could not be determined.

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