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

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


Simplifying
y2 + 2y + -2x2 = 3

Reorder the terms:
-2x2 + 2y + y2 = 3

Solving
-2x2 + 2y + y2 = 3

Solving for variable 'x'.

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

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

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

Add '-1y2' to each side of the equation.
-2x2 + y2 + -1y2 = 3 + -2y + -1y2

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

Divide each side by '-2'.
x2 = -1.5 + y + 0.5y2

Simplifying
x2 = -1.5 + y + 0.5y2

Reorder the terms:
1.5 + x2 + -1y + -0.5y2 = -1.5 + y + 0.5y2 + 1.5 + -1y + -0.5y2

Reorder the terms:
1.5 + x2 + -1y + -0.5y2 = -1.5 + 1.5 + y + -1y + 0.5y2 + -0.5y2

Combine like terms: -1.5 + 1.5 = 0.0
1.5 + x2 + -1y + -0.5y2 = 0.0 + y + -1y + 0.5y2 + -0.5y2
1.5 + x2 + -1y + -0.5y2 = y + -1y + 0.5y2 + -0.5y2

Combine like terms: y + -1y = 0
1.5 + x2 + -1y + -0.5y2 = 0 + 0.5y2 + -0.5y2
1.5 + x2 + -1y + -0.5y2 = 0.5y2 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
1.5 + x2 + -1y + -0.5y2 = 0.0

The solution to this equation could not be determined.

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