4x^2+9y^2+z^2-36=0

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Solution for 4x^2+9y^2+z^2-36=0 equation:


Simplifying
4x2 + 9y2 + z2 + -36 = 0

Reorder the terms:
-36 + 4x2 + 9y2 + z2 = 0

Solving
-36 + 4x2 + 9y2 + z2 = 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 + 4x2 + 9y2 + 36 + z2 = 0 + 36

Reorder the terms:
-36 + 36 + 4x2 + 9y2 + z2 = 0 + 36

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

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

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

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

Add '-1z2' to each side of the equation.
4x2 + z2 + -1z2 = 36 + -9y2 + -1z2

Combine like terms: z2 + -1z2 = 0
4x2 + 0 = 36 + -9y2 + -1z2
4x2 = 36 + -9y2 + -1z2

Divide each side by '4'.
x2 = 9 + -2.25y2 + -0.25z2

Simplifying
x2 = 9 + -2.25y2 + -0.25z2

Reorder the terms:
-9 + x2 + 2.25y2 + 0.25z2 = 9 + -2.25y2 + -0.25z2 + -9 + 2.25y2 + 0.25z2

Reorder the terms:
-9 + x2 + 2.25y2 + 0.25z2 = 9 + -9 + -2.25y2 + 2.25y2 + -0.25z2 + 0.25z2

Combine like terms: 9 + -9 = 0
-9 + x2 + 2.25y2 + 0.25z2 = 0 + -2.25y2 + 2.25y2 + -0.25z2 + 0.25z2
-9 + x2 + 2.25y2 + 0.25z2 = -2.25y2 + 2.25y2 + -0.25z2 + 0.25z2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
-9 + x2 + 2.25y2 + 0.25z2 = 0.00 + -0.25z2 + 0.25z2
-9 + x2 + 2.25y2 + 0.25z2 = -0.25z2 + 0.25z2

Combine like terms: -0.25z2 + 0.25z2 = 0.00
-9 + x2 + 2.25y2 + 0.25z2 = 0.00

The solution to this equation could not be determined.

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