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

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '4'.
x2 = -3 + 0.75y2 + -3z2

Simplifying
x2 = -3 + 0.75y2 + -3z2

Reorder the terms:
3 + x2 + -0.75y2 + 3z2 = -3 + 0.75y2 + -3z2 + 3 + -0.75y2 + 3z2

Reorder the terms:
3 + x2 + -0.75y2 + 3z2 = -3 + 3 + 0.75y2 + -0.75y2 + -3z2 + 3z2

Combine like terms: -3 + 3 = 0
3 + x2 + -0.75y2 + 3z2 = 0 + 0.75y2 + -0.75y2 + -3z2 + 3z2
3 + x2 + -0.75y2 + 3z2 = 0.75y2 + -0.75y2 + -3z2 + 3z2

Combine like terms: 0.75y2 + -0.75y2 = 0.00
3 + x2 + -0.75y2 + 3z2 = 0.00 + -3z2 + 3z2
3 + x2 + -0.75y2 + 3z2 = -3z2 + 3z2

Combine like terms: -3z2 + 3z2 = 0
3 + x2 + -0.75y2 + 3z2 = 0

The solution to this equation could not be determined.

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