3x^2-4y^2-12z^2+12=0

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Solution for 3x^2-4y^2-12z^2+12=0 equation: 


Simplifying
3x2 + -4y2 + -12z2 + 12 = 0

Reorder the terms:
12 + 3x2 + -4y2 + -12z2 = 0

Solving
12 + 3x2 + -4y2 + -12z2 = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 3x2 + -4y2 + -12 + -12z2 = 0 + -12

Reorder the terms:
12 + -12 + 3x2 + -4y2 + -12z2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x2 + -4y2 + -12z2 = 0 + -12
3x2 + -4y2 + -12z2 = 0 + -12

Combine like terms: 0 + -12 = -12
3x2 + -4y2 + -12z2 = -12

Add '4y2' to each side of the equation.
3x2 + -4y2 + 4y2 + -12z2 = -12 + 4y2

Combine like terms: -4y2 + 4y2 = 0
3x2 + 0 + -12z2 = -12 + 4y2
3x2 + -12z2 = -12 + 4y2

Add '12z2' to each side of the equation.
3x2 + -12z2 + 12z2 = -12 + 4y2 + 12z2

Combine like terms: -12z2 + 12z2 = 0
3x2 + 0 = -12 + 4y2 + 12z2
3x2 = -12 + 4y2 + 12z2

Divide each side by '3'.
x2 = -4 + 1.333333333y2 + 4z2

Simplifying
x2 = -4 + 1.333333333y2 + 4z2

Reorder the terms:
4 + x2 + -1.333333333y2 + -4z2 = -4 + 1.333333333y2 + 4z2 + 4 + -1.333333333y2 + -4z2

Reorder the terms:
4 + x2 + -1.333333333y2 + -4z2 = -4 + 4 + 1.333333333y2 + -1.333333333y2 + 4z2 + -4z2

Combine like terms: -4 + 4 = 0
4 + x2 + -1.333333333y2 + -4z2 = 0 + 1.333333333y2 + -1.333333333y2 + 4z2 + -4z2
4 + x2 + -1.333333333y2 + -4z2 = 1.333333333y2 + -1.333333333y2 + 4z2 + -4z2

Combine like terms: 1.333333333y2 + -1.333333333y2 = 0.000000000
4 + x2 + -1.333333333y2 + -4z2 = 0.000000000 + 4z2 + -4z2
4 + x2 + -1.333333333y2 + -4z2 = 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
4 + x2 + -1.333333333y2 + -4z2 = 0

The solution to this equation could not be determined.

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