4x^2-y^2+2z^2+4=0

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Solution for 4x^2-y^2+2z^2+4=0 equation: 


Simplifying
4x2 + -1y2 + 2z2 + 4 = 0

Reorder the terms:
4 + 4x2 + -1y2 + 2z2 = 0

Solving
4 + 4x2 + -1y2 + 2z2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 4x2 + -1y2 + -4 + 2z2 = 0 + -4

Reorder the terms:
4 + -4 + 4x2 + -1y2 + 2z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4x2 + -1y2 + 2z2 = 0 + -4
4x2 + -1y2 + 2z2 = 0 + -4

Combine like terms: 0 + -4 = -4
4x2 + -1y2 + 2z2 = -4

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 + 2z2 = -4 + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 + 2z2 = -4 + y2
4x2 + 2z2 = -4 + y2

Add '-2z2' to each side of the equation.
4x2 + 2z2 + -2z2 = -4 + y2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
4x2 + 0 = -4 + y2 + -2z2
4x2 = -4 + y2 + -2z2

Divide each side by '4'.
x2 = -1 + 0.25y2 + -0.5z2

Simplifying
x2 = -1 + 0.25y2 + -0.5z2

Reorder the terms:
1 + x2 + -0.25y2 + 0.5z2 = -1 + 0.25y2 + -0.5z2 + 1 + -0.25y2 + 0.5z2

Reorder the terms:
1 + x2 + -0.25y2 + 0.5z2 = -1 + 1 + 0.25y2 + -0.25y2 + -0.5z2 + 0.5z2

Combine like terms: -1 + 1 = 0
1 + x2 + -0.25y2 + 0.5z2 = 0 + 0.25y2 + -0.25y2 + -0.5z2 + 0.5z2
1 + x2 + -0.25y2 + 0.5z2 = 0.25y2 + -0.25y2 + -0.5z2 + 0.5z2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
1 + x2 + -0.25y2 + 0.5z2 = 0.00 + -0.5z2 + 0.5z2
1 + x2 + -0.25y2 + 0.5z2 = -0.5z2 + 0.5z2

Combine like terms: -0.5z2 + 0.5z2 = 0.0
1 + x2 + -0.25y2 + 0.5z2 = 0.0

The solution to this equation could not be determined.

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