16x^2-y^2-6yz-9z^2=

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Solution for 16x^2-y^2-6yz-9z^2= equation:


Simplifying
16x2 + -1y2 + -6yz + -9z2 = 0

Reorder the terms:
16x2 + -6yz + -1y2 + -9z2 = 0

Solving
16x2 + -6yz + -1y2 + -9z2 = 0

Solving for variable 'x'.

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

Add '6yz' to each side of the equation.
16x2 + -6yz + -1y2 + 6yz + -9z2 = 0 + 6yz

Reorder the terms:
16x2 + -6yz + 6yz + -1y2 + -9z2 = 0 + 6yz

Combine like terms: -6yz + 6yz = 0
16x2 + 0 + -1y2 + -9z2 = 0 + 6yz
16x2 + -1y2 + -9z2 = 0 + 6yz
Remove the zero:
16x2 + -1y2 + -9z2 = 6yz

Add 'y2' to each side of the equation.
16x2 + -1y2 + y2 + -9z2 = 6yz + y2

Combine like terms: -1y2 + y2 = 0
16x2 + 0 + -9z2 = 6yz + y2
16x2 + -9z2 = 6yz + y2

Add '9z2' to each side of the equation.
16x2 + -9z2 + 9z2 = 6yz + y2 + 9z2

Combine like terms: -9z2 + 9z2 = 0
16x2 + 0 = 6yz + y2 + 9z2
16x2 = 6yz + y2 + 9z2

Divide each side by '16'.
x2 = 0.375yz + 0.0625y2 + 0.5625z2

Simplifying
x2 = 0.375yz + 0.0625y2 + 0.5625z2

Reorder the terms:
x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.375yz + -0.375yz + 0.0625y2 + -0.0625y2 + 0.5625z2 + -0.5625z2

Combine like terms: 0.375yz + -0.375yz = 0.000
x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.000 + 0.0625y2 + -0.0625y2 + 0.5625z2 + -0.5625z2
x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.0625y2 + -0.0625y2 + 0.5625z2 + -0.5625z2

Combine like terms: 0.0625y2 + -0.0625y2 = 0.0000
x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.0000 + 0.5625z2 + -0.5625z2
x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.5625z2 + -0.5625z2

Combine like terms: 0.5625z2 + -0.5625z2 = 0.0000
x2 + -0.375yz + -0.0625y2 + -0.5625z2 = 0.0000

The solution to this equation could not be determined.

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