x^2+y=2x^2-1

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Solution for x^2+y=2x^2-1 equation:


Simplifying
x2 + y = 2x2 + -1

Reorder the terms:
x2 + y = -1 + 2x2

Solving
x2 + y = -1 + 2x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + -2x2 = -1x2
-1x2 + y = -1 + 2x2 + -2x2

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

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

Combine like terms: y + -1y = 0
-1x2 + 0 = -1 + -1y
-1x2 = -1 + -1y

Divide each side by '-1'.
x2 = 1 + y

Simplifying
x2 = 1 + y

Reorder the terms:
-1 + x2 + -1y = 1 + y + -1 + -1y

Reorder the terms:
-1 + x2 + -1y = 1 + -1 + y + -1y

Combine like terms: 1 + -1 = 0
-1 + x2 + -1y = 0 + y + -1y
-1 + x2 + -1y = y + -1y

Combine like terms: y + -1y = 0
-1 + x2 + -1y = 0

The solution to this equation could not be determined.

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