9x^2+36y^2+16z^2-144=0

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Solution for 9x^2+36y^2+16z^2-144=0 equation:


Simplifying
9x2 + 36y2 + 16z2 + -144 = 0

Reorder the terms:
-144 + 9x2 + 36y2 + 16z2 = 0

Solving
-144 + 9x2 + 36y2 + 16z2 = 0

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 9x2 + 36y2 + 144 + 16z2 = 0 + 144

Reorder the terms:
-144 + 144 + 9x2 + 36y2 + 16z2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 9x2 + 36y2 + 16z2 = 0 + 144
9x2 + 36y2 + 16z2 = 0 + 144

Combine like terms: 0 + 144 = 144
9x2 + 36y2 + 16z2 = 144

Add '-36y2' to each side of the equation.
9x2 + 36y2 + -36y2 + 16z2 = 144 + -36y2

Combine like terms: 36y2 + -36y2 = 0
9x2 + 0 + 16z2 = 144 + -36y2
9x2 + 16z2 = 144 + -36y2

Add '-16z2' to each side of the equation.
9x2 + 16z2 + -16z2 = 144 + -36y2 + -16z2

Combine like terms: 16z2 + -16z2 = 0
9x2 + 0 = 144 + -36y2 + -16z2
9x2 = 144 + -36y2 + -16z2

Divide each side by '9'.
x2 = 16 + -4y2 + -1.777777778z2

Simplifying
x2 = 16 + -4y2 + -1.777777778z2

Reorder the terms:
-16 + x2 + 4y2 + 1.777777778z2 = 16 + -4y2 + -1.777777778z2 + -16 + 4y2 + 1.777777778z2

Reorder the terms:
-16 + x2 + 4y2 + 1.777777778z2 = 16 + -16 + -4y2 + 4y2 + -1.777777778z2 + 1.777777778z2

Combine like terms: 16 + -16 = 0
-16 + x2 + 4y2 + 1.777777778z2 = 0 + -4y2 + 4y2 + -1.777777778z2 + 1.777777778z2
-16 + x2 + 4y2 + 1.777777778z2 = -4y2 + 4y2 + -1.777777778z2 + 1.777777778z2

Combine like terms: -4y2 + 4y2 = 0
-16 + x2 + 4y2 + 1.777777778z2 = 0 + -1.777777778z2 + 1.777777778z2
-16 + x2 + 4y2 + 1.777777778z2 = -1.777777778z2 + 1.777777778z2

Combine like terms: -1.777777778z2 + 1.777777778z2 = 0.000000000
-16 + x2 + 4y2 + 1.777777778z2 = 0.000000000

The solution to this equation could not be determined.

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