2x^2+y^2+2yz+2z^2=0

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Solution for 2x^2+y^2+2yz+2z^2=0 equation:


Simplifying
2x2 + y2 + 2yz + 2z2 = 0

Reorder the terms:
2x2 + 2yz + y2 + 2z2 = 0

Solving
2x2 + 2yz + y2 + 2z2 = 0

Solving for variable 'x'.

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

Add '-2yz' to each side of the equation.
2x2 + 2yz + y2 + -2yz + 2z2 = 0 + -2yz

Reorder the terms:
2x2 + 2yz + -2yz + y2 + 2z2 = 0 + -2yz

Combine like terms: 2yz + -2yz = 0
2x2 + 0 + y2 + 2z2 = 0 + -2yz
2x2 + y2 + 2z2 = 0 + -2yz
Remove the zero:
2x2 + y2 + 2z2 = -2yz

Add '-1y2' to each side of the equation.
2x2 + y2 + -1y2 + 2z2 = -2yz + -1y2

Combine like terms: y2 + -1y2 = 0
2x2 + 0 + 2z2 = -2yz + -1y2
2x2 + 2z2 = -2yz + -1y2

Add '-2z2' to each side of the equation.
2x2 + 2z2 + -2z2 = -2yz + -1y2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
2x2 + 0 = -2yz + -1y2 + -2z2
2x2 = -2yz + -1y2 + -2z2

Divide each side by '2'.
x2 = -1yz + -0.5y2 + -1z2

Simplifying
x2 = -1yz + -0.5y2 + -1z2

Reorder the terms:
x2 + yz + 0.5y2 + z2 = -1yz + yz + -0.5y2 + 0.5y2 + -1z2 + z2

Combine like terms: -1yz + yz = 0
x2 + yz + 0.5y2 + z2 = 0 + -0.5y2 + 0.5y2 + -1z2 + z2
x2 + yz + 0.5y2 + z2 = -0.5y2 + 0.5y2 + -1z2 + z2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
x2 + yz + 0.5y2 + z2 = 0.0 + -1z2 + z2
x2 + yz + 0.5y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
x2 + yz + 0.5y2 + z2 = 0

The solution to this equation could not be determined.

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