x^2-3y^2+6y-15=0

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Solution for x^2-3y^2+6y-15=0 equation:


Simplifying
x2 + -3y2 + 6y + -15 = 0

Reorder the terms:
-15 + x2 + 6y + -3y2 = 0

Solving
-15 + x2 + 6y + -3y2 = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + x2 + 6y + 15 + -3y2 = 0 + 15

Reorder the terms:
-15 + 15 + x2 + 6y + -3y2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x2 + 6y + -3y2 = 0 + 15
x2 + 6y + -3y2 = 0 + 15

Combine like terms: 0 + 15 = 15
x2 + 6y + -3y2 = 15

Add '-6y' to each side of the equation.
x2 + 6y + -6y + -3y2 = 15 + -6y

Combine like terms: 6y + -6y = 0
x2 + 0 + -3y2 = 15 + -6y
x2 + -3y2 = 15 + -6y

Add '3y2' to each side of the equation.
x2 + -3y2 + 3y2 = 15 + -6y + 3y2

Combine like terms: -3y2 + 3y2 = 0
x2 + 0 = 15 + -6y + 3y2
x2 = 15 + -6y + 3y2

Simplifying
x2 = 15 + -6y + 3y2

Reorder the terms:
-15 + x2 + 6y + -3y2 = 15 + -6y + 3y2 + -15 + 6y + -3y2

Reorder the terms:
-15 + x2 + 6y + -3y2 = 15 + -15 + -6y + 6y + 3y2 + -3y2

Combine like terms: 15 + -15 = 0
-15 + x2 + 6y + -3y2 = 0 + -6y + 6y + 3y2 + -3y2
-15 + x2 + 6y + -3y2 = -6y + 6y + 3y2 + -3y2

Combine like terms: -6y + 6y = 0
-15 + x2 + 6y + -3y2 = 0 + 3y2 + -3y2
-15 + x2 + 6y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-15 + x2 + 6y + -3y2 = 0

The solution to this equation could not be determined.

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