3x^2+z^2-4y=0

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Solution for 3x^2+z^2-4y=0 equation:


Simplifying
3x2 + z2 + -4y = 0

Reorder the terms:
3x2 + -4y + z2 = 0

Solving
3x2 + -4y + z2 = 0

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
3x2 + -4y + 4y + z2 = 0 + 4y

Combine like terms: -4y + 4y = 0
3x2 + 0 + z2 = 0 + 4y
3x2 + z2 = 0 + 4y
Remove the zero:
3x2 + z2 = 4y

Add '-1z2' to each side of the equation.
3x2 + z2 + -1z2 = 4y + -1z2

Combine like terms: z2 + -1z2 = 0
3x2 + 0 = 4y + -1z2
3x2 = 4y + -1z2

Divide each side by '3'.
x2 = 1.333333333y + -0.3333333333z2

Simplifying
x2 = 1.333333333y + -0.3333333333z2

Reorder the terms:
x2 + -1.333333333y + 0.3333333333z2 = 1.333333333y + -1.333333333y + -0.3333333333z2 + 0.3333333333z2

Combine like terms: 1.333333333y + -1.333333333y = 0.000000000
x2 + -1.333333333y + 0.3333333333z2 = 0.000000000 + -0.3333333333z2 + 0.3333333333z2
x2 + -1.333333333y + 0.3333333333z2 = -0.3333333333z2 + 0.3333333333z2

Combine like terms: -0.3333333333z2 + 0.3333333333z2 = 0.0000000000
x2 + -1.333333333y + 0.3333333333z2 = 0.0000000000

The solution to this equation could not be determined.

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