2*z+p^2+q*y+2*y^2=0

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Solution for 2*z+p^2+q*y+2*y^2=0 equation:


Simplifying
2z + p2 + q * y + 2y2 = 0

Multiply q * y
2z + p2 + qy + 2y2 = 0

Reorder the terms:
p2 + qy + 2y2 + 2z = 0

Solving
p2 + qy + 2y2 + 2z = 0

Solving for variable 'p'.

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

Add '-1qy' to each side of the equation.
p2 + qy + 2y2 + -1qy + 2z = 0 + -1qy

Reorder the terms:
p2 + qy + -1qy + 2y2 + 2z = 0 + -1qy

Combine like terms: qy + -1qy = 0
p2 + 0 + 2y2 + 2z = 0 + -1qy
p2 + 2y2 + 2z = 0 + -1qy
Remove the zero:
p2 + 2y2 + 2z = -1qy

Add '-2y2' to each side of the equation.
p2 + 2y2 + -2y2 + 2z = -1qy + -2y2

Combine like terms: 2y2 + -2y2 = 0
p2 + 0 + 2z = -1qy + -2y2
p2 + 2z = -1qy + -2y2

Add '-2z' to each side of the equation.
p2 + 2z + -2z = -1qy + -2y2 + -2z

Combine like terms: 2z + -2z = 0
p2 + 0 = -1qy + -2y2 + -2z
p2 = -1qy + -2y2 + -2z

Simplifying
p2 = -1qy + -2y2 + -2z

Reorder the terms:
p2 + qy + 2y2 + 2z = -1qy + qy + -2y2 + 2y2 + -2z + 2z

Combine like terms: -1qy + qy = 0
p2 + qy + 2y2 + 2z = 0 + -2y2 + 2y2 + -2z + 2z
p2 + qy + 2y2 + 2z = -2y2 + 2y2 + -2z + 2z

Combine like terms: -2y2 + 2y2 = 0
p2 + qy + 2y2 + 2z = 0 + -2z + 2z
p2 + qy + 2y2 + 2z = -2z + 2z

Combine like terms: -2z + 2z = 0
p2 + qy + 2y2 + 2z = 0

The solution to this equation could not be determined.

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