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

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


Simplifying
3x2 + -1y2 + 2x + -3y + 2x2 + -1y2 + -2x + 3y + 15 = 0

Reorder the terms:
15 + 2x + -2x + 3x2 + 2x2 + -3y + 3y + -1y2 + -1y2 = 0

Combine like terms: 2x + -2x = 0
15 + 0 + 3x2 + 2x2 + -3y + 3y + -1y2 + -1y2 = 0
15 + 3x2 + 2x2 + -3y + 3y + -1y2 + -1y2 = 0

Combine like terms: 3x2 + 2x2 = 5x2
15 + 5x2 + -3y + 3y + -1y2 + -1y2 = 0

Combine like terms: -3y + 3y = 0
15 + 5x2 + 0 + -1y2 + -1y2 = 0
15 + 5x2 + -1y2 + -1y2 = 0

Combine like terms: -1y2 + -1y2 = -2y2
15 + 5x2 + -2y2 = 0

Solving
15 + 5x2 + -2y2 = 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 + 5x2 + -15 + -2y2 = 0 + -15

Reorder the terms:
15 + -15 + 5x2 + -2y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5x2 + -2y2 = 0 + -15
5x2 + -2y2 = 0 + -15

Combine like terms: 0 + -15 = -15
5x2 + -2y2 = -15

Add '2y2' to each side of the equation.
5x2 + -2y2 + 2y2 = -15 + 2y2

Combine like terms: -2y2 + 2y2 = 0
5x2 + 0 = -15 + 2y2
5x2 = -15 + 2y2

Divide each side by '5'.
x2 = -3 + 0.4y2

Simplifying
x2 = -3 + 0.4y2

Reorder the terms:
3 + x2 + -0.4y2 = -3 + 0.4y2 + 3 + -0.4y2

Reorder the terms:
3 + x2 + -0.4y2 = -3 + 3 + 0.4y2 + -0.4y2

Combine like terms: -3 + 3 = 0
3 + x2 + -0.4y2 = 0 + 0.4y2 + -0.4y2
3 + x2 + -0.4y2 = 0.4y2 + -0.4y2

Combine like terms: 0.4y2 + -0.4y2 = 0.0
3 + x2 + -0.4y2 = 0.0

The solution to this equation could not be determined.

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