9x^2+4y^2+z^2=1

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Solution for 9x^2+4y^2+z^2=1 equation: 


Simplifying
9x2 + 4y2 + z2 = 1

Solving
9x2 + 4y2 + z2 = 1

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.
9x2 + 4y2 + -4y2 + z2 = 1 + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 + z2 = 1 + -4y2
9x2 + z2 = 1 + -4y2

Add '-1z2' to each side of the equation.
9x2 + z2 + -1z2 = 1 + -4y2 + -1z2

Combine like terms: z2 + -1z2 = 0
9x2 + 0 = 1 + -4y2 + -1z2
9x2 = 1 + -4y2 + -1z2

Divide each side by '9'.
x2 = 0.1111111111 + -0.4444444444y2 + -0.1111111111z2

Simplifying
x2 = 0.1111111111 + -0.4444444444y2 + -0.1111111111z2

Reorder the terms:
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = 0.1111111111 + -0.4444444444y2 + -0.1111111111z2 + -0.1111111111 + 0.4444444444y2 + 0.1111111111z2

Reorder the terms:
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = 0.1111111111 + -0.1111111111 + -0.4444444444y2 + 0.4444444444y2 + -0.1111111111z2 + 0.1111111111z2

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = 0.0000000000 + -0.4444444444y2 + 0.4444444444y2 + -0.1111111111z2 + 0.1111111111z2
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = -0.4444444444y2 + 0.4444444444y2 + -0.1111111111z2 + 0.1111111111z2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = 0.0000000000 + -0.1111111111z2 + 0.1111111111z2
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = -0.1111111111z2 + 0.1111111111z2

Combine like terms: -0.1111111111z2 + 0.1111111111z2 = 0.0000000000
-0.1111111111 + x2 + 0.4444444444y2 + 0.1111111111z2 = 0.0000000000

The solution to this equation could not be determined.

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