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

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


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

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

Solving for variable 'x'.

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

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

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

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

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

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

Simplifying
x2 = -2 + 2y2 + -0.5z2

Reorder the terms:
2 + x2 + -2y2 + 0.5z2 = -2 + 2y2 + -0.5z2 + 2 + -2y2 + 0.5z2

Reorder the terms:
2 + x2 + -2y2 + 0.5z2 = -2 + 2 + 2y2 + -2y2 + -0.5z2 + 0.5z2

Combine like terms: -2 + 2 = 0
2 + x2 + -2y2 + 0.5z2 = 0 + 2y2 + -2y2 + -0.5z2 + 0.5z2
2 + x2 + -2y2 + 0.5z2 = 2y2 + -2y2 + -0.5z2 + 0.5z2

Combine like terms: 2y2 + -2y2 = 0
2 + x2 + -2y2 + 0.5z2 = 0 + -0.5z2 + 0.5z2
2 + x2 + -2y2 + 0.5z2 = -0.5z2 + 0.5z2

Combine like terms: -0.5z2 + 0.5z2 = 0.0
2 + x2 + -2y2 + 0.5z2 = 0.0

The solution to this equation could not be determined.

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