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

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


Simplifying
z + -4 + -4x2 + -1y2 = 0

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

Solving
-4 + -4x2 + -1y2 + z = 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 + z = 0 + 4

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

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

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

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

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

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

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

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

Simplifying
x2 = -1 + -0.25y2 + 0.25z

Reorder the terms:
1 + x2 + 0.25y2 + -0.25z = -1 + -0.25y2 + 0.25z + 1 + 0.25y2 + -0.25z

Reorder the terms:
1 + x2 + 0.25y2 + -0.25z = -1 + 1 + -0.25y2 + 0.25y2 + 0.25z + -0.25z

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

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

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

The solution to this equation could not be determined.

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