3x^2-y^2+30+78=0

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Solution for 3x^2-y^2+30+78=0 equation:


Simplifying
3x2 + -1y2 + 30 + 78 = 0

Reorder the terms:
30 + 78 + 3x2 + -1y2 = 0

Combine like terms: 30 + 78 = 108
108 + 3x2 + -1y2 = 0

Solving
108 + 3x2 + -1y2 = 0

Solving for variable 'x'.

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

Add '-108' to each side of the equation.
108 + 3x2 + -108 + -1y2 = 0 + -108

Reorder the terms:
108 + -108 + 3x2 + -1y2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 3x2 + -1y2 = 0 + -108
3x2 + -1y2 = 0 + -108

Combine like terms: 0 + -108 = -108
3x2 + -1y2 = -108

Add 'y2' to each side of the equation.
3x2 + -1y2 + y2 = -108 + y2

Combine like terms: -1y2 + y2 = 0
3x2 + 0 = -108 + y2
3x2 = -108 + y2

Divide each side by '3'.
x2 = -36 + 0.3333333333y2

Simplifying
x2 = -36 + 0.3333333333y2

Reorder the terms:
36 + x2 + -0.3333333333y2 = -36 + 0.3333333333y2 + 36 + -0.3333333333y2

Reorder the terms:
36 + x2 + -0.3333333333y2 = -36 + 36 + 0.3333333333y2 + -0.3333333333y2

Combine like terms: -36 + 36 = 0
36 + x2 + -0.3333333333y2 = 0 + 0.3333333333y2 + -0.3333333333y2
36 + x2 + -0.3333333333y2 = 0.3333333333y2 + -0.3333333333y2

Combine like terms: 0.3333333333y2 + -0.3333333333y2 = 0.0000000000
36 + x2 + -0.3333333333y2 = 0.0000000000

The solution to this equation could not be determined.

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