36x^2+y^2+36z^2=4

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Solution for 36x^2+y^2+36z^2=4 equation: 


Simplifying
36x2 + y2 + 36z2 = 4

Solving
36x2 + y2 + 36z2 = 4

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
36x2 + y2 + -1y2 + 36z2 = 4 + -1y2

Combine like terms: y2 + -1y2 = 0
36x2 + 0 + 36z2 = 4 + -1y2
36x2 + 36z2 = 4 + -1y2

Add '-36z2' to each side of the equation.
36x2 + 36z2 + -36z2 = 4 + -1y2 + -36z2

Combine like terms: 36z2 + -36z2 = 0
36x2 + 0 = 4 + -1y2 + -36z2
36x2 = 4 + -1y2 + -36z2

Divide each side by '36'.
x2 = 0.1111111111 + -0.02777777778y2 + -1z2

Simplifying
x2 = 0.1111111111 + -0.02777777778y2 + -1z2

Reorder the terms:
-0.1111111111 + x2 + 0.02777777778y2 + z2 = 0.1111111111 + -0.02777777778y2 + -1z2 + -0.1111111111 + 0.02777777778y2 + z2

Reorder the terms:
-0.1111111111 + x2 + 0.02777777778y2 + z2 = 0.1111111111 + -0.1111111111 + -0.02777777778y2 + 0.02777777778y2 + -1z2 + z2

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
-0.1111111111 + x2 + 0.02777777778y2 + z2 = 0.0000000000 + -0.02777777778y2 + 0.02777777778y2 + -1z2 + z2
-0.1111111111 + x2 + 0.02777777778y2 + z2 = -0.02777777778y2 + 0.02777777778y2 + -1z2 + z2

Combine like terms: -0.02777777778y2 + 0.02777777778y2 = 0.00000000000
-0.1111111111 + x2 + 0.02777777778y2 + z2 = 0.00000000000 + -1z2 + z2
-0.1111111111 + x2 + 0.02777777778y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-0.1111111111 + x2 + 0.02777777778y2 + z2 = 0

The solution to this equation could not be determined.

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