y^2+2y+x-1=0

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Solution for y^2+2y+x-1=0 equation:


Simplifying
y2 + 2y + x + -1 = 0

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

Solving
-1 + x + 2y + y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + x + 2y + 1 + y2 = 0 + 1

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

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

Combine like terms: 0 + 1 = 1
x + 2y + y2 = 1

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

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

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

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

Simplifying
x = 1 + -2y + -1y2

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