9x^2+4y^2+2z^2=36

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Solution for 9x^2+4y^2+2z^2=36 equation: 


Simplifying
9x2 + 4y2 + 2z2 = 36

Solving
9x2 + 4y2 + 2z2 = 36

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 + 2z2 = 36 + -4y2

Combine like terms: 4y2 + -4y2 = 0
9x2 + 0 + 2z2 = 36 + -4y2
9x2 + 2z2 = 36 + -4y2

Add '-2z2' to each side of the equation.
9x2 + 2z2 + -2z2 = 36 + -4y2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
9x2 + 0 = 36 + -4y2 + -2z2
9x2 = 36 + -4y2 + -2z2

Divide each side by '9'.
x2 = 4 + -0.4444444444y2 + -0.2222222222z2

Simplifying
x2 = 4 + -0.4444444444y2 + -0.2222222222z2

Reorder the terms:
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = 4 + -0.4444444444y2 + -0.2222222222z2 + -4 + 0.4444444444y2 + 0.2222222222z2

Reorder the terms:
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = 4 + -4 + -0.4444444444y2 + 0.4444444444y2 + -0.2222222222z2 + 0.2222222222z2

Combine like terms: 4 + -4 = 0
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = 0 + -0.4444444444y2 + 0.4444444444y2 + -0.2222222222z2 + 0.2222222222z2
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = -0.4444444444y2 + 0.4444444444y2 + -0.2222222222z2 + 0.2222222222z2

Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = 0.0000000000 + -0.2222222222z2 + 0.2222222222z2
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = -0.2222222222z2 + 0.2222222222z2

Combine like terms: -0.2222222222z2 + 0.2222222222z2 = 0.0000000000
-4 + x2 + 0.4444444444y2 + 0.2222222222z2 = 0.0000000000

The solution to this equation could not be determined.

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