6X^2-6Y^2+6Y+6=0

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Solution for 6X^2-6Y^2+6Y+6=0 equation:


Simplifying
6X2 + -6Y2 + 6Y + 6 = 0

Reorder the terms:
6 + 6X2 + 6Y + -6Y2 = 0

Solving
6 + 6X2 + 6Y + -6Y2 = 0

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 6X2 + 6Y + -6 + -6Y2 = 0 + -6

Reorder the terms:
6 + -6 + 6X2 + 6Y + -6Y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6X2 + 6Y + -6Y2 = 0 + -6
6X2 + 6Y + -6Y2 = 0 + -6

Combine like terms: 0 + -6 = -6
6X2 + 6Y + -6Y2 = -6

Add '-6Y' to each side of the equation.
6X2 + 6Y + -6Y + -6Y2 = -6 + -6Y

Combine like terms: 6Y + -6Y = 0
6X2 + 0 + -6Y2 = -6 + -6Y
6X2 + -6Y2 = -6 + -6Y

Add '6Y2' to each side of the equation.
6X2 + -6Y2 + 6Y2 = -6 + -6Y + 6Y2

Combine like terms: -6Y2 + 6Y2 = 0
6X2 + 0 = -6 + -6Y + 6Y2
6X2 = -6 + -6Y + 6Y2

Divide each side by '6'.
X2 = -1 + -1Y + Y2

Simplifying
X2 = -1 + -1Y + Y2

Reorder the terms:
1 + X2 + Y + -1Y2 = -1 + -1Y + Y2 + 1 + Y + -1Y2

Reorder the terms:
1 + X2 + Y + -1Y2 = -1 + 1 + -1Y + Y + Y2 + -1Y2

Combine like terms: -1 + 1 = 0
1 + X2 + Y + -1Y2 = 0 + -1Y + Y + Y2 + -1Y2
1 + X2 + Y + -1Y2 = -1Y + Y + Y2 + -1Y2

Combine like terms: -1Y + Y = 0
1 + X2 + Y + -1Y2 = 0 + Y2 + -1Y2
1 + X2 + Y + -1Y2 = Y2 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
1 + X2 + Y + -1Y2 = 0

The solution to this equation could not be determined.

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