X^2-9Y^2+16Z^2=144

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Solution for X^2-9Y^2+16Z^2=144 equation:


Simplifying
X2 + -9Y2 + 16Z2 = 144

Solving
X2 + -9Y2 + 16Z2 = 144

Solving for variable 'X'.

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

Add '9Y2' to each side of the equation.
X2 + -9Y2 + 9Y2 + 16Z2 = 144 + 9Y2

Combine like terms: -9Y2 + 9Y2 = 0
X2 + 0 + 16Z2 = 144 + 9Y2
X2 + 16Z2 = 144 + 9Y2

Add '-16Z2' to each side of the equation.
X2 + 16Z2 + -16Z2 = 144 + 9Y2 + -16Z2

Combine like terms: 16Z2 + -16Z2 = 0
X2 + 0 = 144 + 9Y2 + -16Z2
X2 = 144 + 9Y2 + -16Z2

Simplifying
X2 = 144 + 9Y2 + -16Z2

Reorder the terms:
-144 + X2 + -9Y2 + 16Z2 = 144 + 9Y2 + -16Z2 + -144 + -9Y2 + 16Z2

Reorder the terms:
-144 + X2 + -9Y2 + 16Z2 = 144 + -144 + 9Y2 + -9Y2 + -16Z2 + 16Z2

Combine like terms: 144 + -144 = 0
-144 + X2 + -9Y2 + 16Z2 = 0 + 9Y2 + -9Y2 + -16Z2 + 16Z2
-144 + X2 + -9Y2 + 16Z2 = 9Y2 + -9Y2 + -16Z2 + 16Z2

Combine like terms: 9Y2 + -9Y2 = 0
-144 + X2 + -9Y2 + 16Z2 = 0 + -16Z2 + 16Z2
-144 + X2 + -9Y2 + 16Z2 = -16Z2 + 16Z2

Combine like terms: -16Z2 + 16Z2 = 0
-144 + X2 + -9Y2 + 16Z2 = 0

The solution to this equation could not be determined.

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