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

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


Simplifying
z2 + -4y2 = 4x2

Reorder the terms:
-4y2 + z2 = 4x2

Solving
-4y2 + z2 = 4x2

Solving for variable 'y'.

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

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

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

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

Simplifying
y2 = -1x2 + 0.25z2

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

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

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

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

The solution to this equation could not be determined.

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