4x^2-y^2+4z^2-9=0

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Solution for 4x^2-y^2+4z^2-9=0 equation: 


Simplifying
4x2 + -1y2 + 4z2 + -9 = 0

Reorder the terms:
-9 + 4x2 + -1y2 + 4z2 = 0

Solving
-9 + 4x2 + -1y2 + 4z2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 4x2 + -1y2 + 9 + 4z2 = 0 + 9

Reorder the terms:
-9 + 9 + 4x2 + -1y2 + 4z2 = 0 + 9

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

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

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

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

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

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

Divide each side by '4'.
x2 = 2.25 + 0.25y2 + -1z2

Simplifying
x2 = 2.25 + 0.25y2 + -1z2

Reorder the terms:
-2.25 + x2 + -0.25y2 + z2 = 2.25 + 0.25y2 + -1z2 + -2.25 + -0.25y2 + z2

Reorder the terms:
-2.25 + x2 + -0.25y2 + z2 = 2.25 + -2.25 + 0.25y2 + -0.25y2 + -1z2 + z2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + x2 + -0.25y2 + z2 = 0.00 + 0.25y2 + -0.25y2 + -1z2 + z2
-2.25 + x2 + -0.25y2 + z2 = 0.25y2 + -0.25y2 + -1z2 + z2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-2.25 + x2 + -0.25y2 + z2 = 0.00 + -1z2 + z2
-2.25 + x2 + -0.25y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2.25 + x2 + -0.25y2 + z2 = 0

The solution to this equation could not be determined.

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