36x^2-9y^2-4z^2+18y=27

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Solution for 36x^2-9y^2-4z^2+18y=27 equation: 


Simplifying
36x2 + -9y2 + -4z2 + 18y = 27

Reorder the terms:
36x2 + 18y + -9y2 + -4z2 = 27

Solving
36x2 + 18y + -9y2 + -4z2 = 27

Solving for variable 'x'.

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

Add '-18y' to each side of the equation.
36x2 + 18y + -9y2 + -18y + -4z2 = 27 + -18y

Reorder the terms:
36x2 + 18y + -18y + -9y2 + -4z2 = 27 + -18y

Combine like terms: 18y + -18y = 0
36x2 + 0 + -9y2 + -4z2 = 27 + -18y
36x2 + -9y2 + -4z2 = 27 + -18y

Add '9y2' to each side of the equation.
36x2 + -9y2 + 9y2 + -4z2 = 27 + -18y + 9y2

Combine like terms: -9y2 + 9y2 = 0
36x2 + 0 + -4z2 = 27 + -18y + 9y2
36x2 + -4z2 = 27 + -18y + 9y2

Add '4z2' to each side of the equation.
36x2 + -4z2 + 4z2 = 27 + -18y + 9y2 + 4z2

Combine like terms: -4z2 + 4z2 = 0
36x2 + 0 = 27 + -18y + 9y2 + 4z2
36x2 = 27 + -18y + 9y2 + 4z2

Divide each side by '36'.
x2 = 0.75 + -0.5y + 0.25y2 + 0.1111111111z2

Simplifying
x2 = 0.75 + -0.5y + 0.25y2 + 0.1111111111z2

Reorder the terms:
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.75 + -0.5y + 0.25y2 + 0.1111111111z2 + -0.75 + 0.5y + -0.25y2 + -0.1111111111z2

Reorder the terms:
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.75 + -0.75 + -0.5y + 0.5y + 0.25y2 + -0.25y2 + 0.1111111111z2 + -0.1111111111z2

Combine like terms: 0.75 + -0.75 = 0.00
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.00 + -0.5y + 0.5y + 0.25y2 + -0.25y2 + 0.1111111111z2 + -0.1111111111z2
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = -0.5y + 0.5y + 0.25y2 + -0.25y2 + 0.1111111111z2 + -0.1111111111z2

Combine like terms: -0.5y + 0.5y = 0.0
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.0 + 0.25y2 + -0.25y2 + 0.1111111111z2 + -0.1111111111z2
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.25y2 + -0.25y2 + 0.1111111111z2 + -0.1111111111z2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.00 + 0.1111111111z2 + -0.1111111111z2
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.1111111111z2 + -0.1111111111z2

Combine like terms: 0.1111111111z2 + -0.1111111111z2 = 0.0000000000
-0.75 + x2 + 0.5y + -0.25y2 + -0.1111111111z2 = 0.0000000000

The solution to this equation could not be determined.

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