y^2+4yp+4P^2=0

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Solution for y^2+4yp+4P^2=0 equation:


Simplifying
y2 + 4yp + 4P2 = 0

Reorder the terms:
4P2 + 4py + y2 = 0

Solving
4P2 + 4py + y2 = 0

Solving for variable 'P'.

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

Add '-4py' to each side of the equation.
4P2 + 4py + -4py + y2 = 0 + -4py

Combine like terms: 4py + -4py = 0
4P2 + 0 + y2 = 0 + -4py
4P2 + y2 = 0 + -4py
Remove the zero:
4P2 + y2 = -4py

Add '-1y2' to each side of the equation.
4P2 + y2 + -1y2 = -4py + -1y2

Combine like terms: y2 + -1y2 = 0
4P2 + 0 = -4py + -1y2
4P2 = -4py + -1y2

Divide each side by '4'.
P2 = -1py + -0.25y2

Simplifying
P2 = -1py + -0.25y2

Reorder the terms:
P2 + py + 0.25y2 = -1py + py + -0.25y2 + 0.25y2

Combine like terms: -1py + py = 0
P2 + py + 0.25y2 = 0 + -0.25y2 + 0.25y2
P2 + py + 0.25y2 = -0.25y2 + 0.25y2

Combine like terms: -0.25y2 + 0.25y2 = 0.00
P2 + py + 0.25y2 = 0.00

The solution to this equation could not be determined.

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