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

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


Simplifying
4x2 + 9y2 + -1z2 = 36

Solving
4x2 + 9y2 + -1z2 = 36

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.
4x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2

Combine like terms: 9y2 + -9y2 = 0
4x2 + 0 + -1z2 = 36 + -9y2
4x2 + -1z2 = 36 + -9y2

Add 'z2' to each side of the equation.
4x2 + -1z2 + z2 = 36 + -9y2 + z2

Combine like terms: -1z2 + z2 = 0
4x2 + 0 = 36 + -9y2 + z2
4x2 = 36 + -9y2 + z2

Divide each side by '4'.
x2 = 9 + -2.25y2 + 0.25z2

Simplifying
x2 = 9 + -2.25y2 + 0.25z2

Reorder the terms:
-9 + x2 + 2.25y2 + -0.25z2 = 9 + -2.25y2 + 0.25z2 + -9 + 2.25y2 + -0.25z2

Reorder the terms:
-9 + x2 + 2.25y2 + -0.25z2 = 9 + -9 + -2.25y2 + 2.25y2 + 0.25z2 + -0.25z2

Combine like terms: 9 + -9 = 0
-9 + x2 + 2.25y2 + -0.25z2 = 0 + -2.25y2 + 2.25y2 + 0.25z2 + -0.25z2
-9 + x2 + 2.25y2 + -0.25z2 = -2.25y2 + 2.25y2 + 0.25z2 + -0.25z2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
-9 + x2 + 2.25y2 + -0.25z2 = 0.00 + 0.25z2 + -0.25z2
-9 + x2 + 2.25y2 + -0.25z2 = 0.25z2 + -0.25z2

Combine like terms: 0.25z2 + -0.25z2 = 0.00
-9 + x2 + 2.25y2 + -0.25z2 = 0.00

The solution to this equation could not be determined.

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