3x^2-2y^2=-24

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Solution for 3x^2-2y^2=-24 equation: 


Simplifying
3x2 + -2y2 = -24

Solving
3x2 + -2y2 = -24

Solving for variable 'x'.

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

Add '2y2' to each side of the equation.
3x2 + -2y2 + 2y2 = -24 + 2y2

Combine like terms: -2y2 + 2y2 = 0
3x2 + 0 = -24 + 2y2
3x2 = -24 + 2y2

Divide each side by '3'.
x2 = -8 + 0.6666666667y2

Simplifying
x2 = -8 + 0.6666666667y2

Reorder the terms:
8 + x2 + -0.6666666667y2 = -8 + 0.6666666667y2 + 8 + -0.6666666667y2

Reorder the terms:
8 + x2 + -0.6666666667y2 = -8 + 8 + 0.6666666667y2 + -0.6666666667y2

Combine like terms: -8 + 8 = 0
8 + x2 + -0.6666666667y2 = 0 + 0.6666666667y2 + -0.6666666667y2
8 + x2 + -0.6666666667y2 = 0.6666666667y2 + -0.6666666667y2

Combine like terms: 0.6666666667y2 + -0.6666666667y2 = 0.0000000000
8 + x2 + -0.6666666667y2 = 0.0000000000

The solution to this equation could not be determined.

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