(4x^2)+(y^2)+9=z^2

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Solution for (4x^2)+(y^2)+9=z^2 equation:


Simplifying
(4x2) + (y2) + 9 = z2
(4x2) + y2 + 9 = z2

Reorder the terms:
9 + (4x2) + y2 = z2

Solving
9 + (4x2) + y2 = z2

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) + -9 + y2 = -9 + z2

Reorder the terms:
9 + -9 + (4x2) + y2 = -9 + z2

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

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

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

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

Simplifying
x2 = -2.25 + -0.25y2 + 0.25z2

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

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

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

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

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

The solution to this equation could not be determined.

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