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

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '-16'.
x2 = -9 + 2.25y2 + -0.5625z2

Simplifying
x2 = -9 + 2.25y2 + -0.5625z2

Reorder the terms:
9 + x2 + -2.25y2 + 0.5625z2 = -9 + 2.25y2 + -0.5625z2 + 9 + -2.25y2 + 0.5625z2

Reorder the terms:
9 + x2 + -2.25y2 + 0.5625z2 = -9 + 9 + 2.25y2 + -2.25y2 + -0.5625z2 + 0.5625z2

Combine like terms: -9 + 9 = 0
9 + x2 + -2.25y2 + 0.5625z2 = 0 + 2.25y2 + -2.25y2 + -0.5625z2 + 0.5625z2
9 + x2 + -2.25y2 + 0.5625z2 = 2.25y2 + -2.25y2 + -0.5625z2 + 0.5625z2

Combine like terms: 2.25y2 + -2.25y2 = 0.00
9 + x2 + -2.25y2 + 0.5625z2 = 0.00 + -0.5625z2 + 0.5625z2
9 + x2 + -2.25y2 + 0.5625z2 = -0.5625z2 + 0.5625z2

Combine like terms: -0.5625z2 + 0.5625z2 = 0.0000
9 + x2 + -2.25y2 + 0.5625z2 = 0.0000

The solution to this equation could not be determined.

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