36X^2+9Y^2-4Z^2-36=0

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Solution for 36X^2+9Y^2-4Z^2-36=0 equation: 


Simplifying
36X2 + 9Y2 + -4Z2 + -36 = 0

Reorder the terms:
-36 + 36X2 + 9Y2 + -4Z2 = 0

Solving
-36 + 36X2 + 9Y2 + -4Z2 = 0

Solving for variable 'X'.

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

Add '36' to each side of the equation.
-36 + 36X2 + 9Y2 + 36 + -4Z2 = 0 + 36

Reorder the terms:
-36 + 36 + 36X2 + 9Y2 + -4Z2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 36X2 + 9Y2 + -4Z2 = 0 + 36
36X2 + 9Y2 + -4Z2 = 0 + 36

Combine like terms: 0 + 36 = 36
36X2 + 9Y2 + -4Z2 = 36

Add '-9Y2' to each side of the equation.
36X2 + 9Y2 + -9Y2 + -4Z2 = 36 + -9Y2

Combine like terms: 9Y2 + -9Y2 = 0
36X2 + 0 + -4Z2 = 36 + -9Y2
36X2 + -4Z2 = 36 + -9Y2

Add '4Z2' to each side of the equation.
36X2 + -4Z2 + 4Z2 = 36 + -9Y2 + 4Z2

Combine like terms: -4Z2 + 4Z2 = 0
36X2 + 0 = 36 + -9Y2 + 4Z2
36X2 = 36 + -9Y2 + 4Z2

Divide each side by '36'.
X2 = 1 + -0.25Y2 + 0.1111111111Z2

Simplifying
X2 = 1 + -0.25Y2 + 0.1111111111Z2

Reorder the terms:
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = 1 + -0.25Y2 + 0.1111111111Z2 + -1 + 0.25Y2 + -0.1111111111Z2

Reorder the terms:
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = 1 + -1 + -0.25Y2 + 0.25Y2 + 0.1111111111Z2 + -0.1111111111Z2

Combine like terms: 1 + -1 = 0
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = 0 + -0.25Y2 + 0.25Y2 + 0.1111111111Z2 + -0.1111111111Z2
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = -0.25Y2 + 0.25Y2 + 0.1111111111Z2 + -0.1111111111Z2

Combine like terms: -0.25Y2 + 0.25Y2 = 0.00
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = 0.00 + 0.1111111111Z2 + -0.1111111111Z2
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = 0.1111111111Z2 + -0.1111111111Z2

Combine like terms: 0.1111111111Z2 + -0.1111111111Z2 = 0.0000000000
-1 + X2 + 0.25Y2 + -0.1111111111Z2 = 0.0000000000

The solution to this equation could not be determined.

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