Y^2+2y+1=x

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


Simplifying
Y2 + 2y + 1 = x

Reorder the terms:
1 + Y2 + 2y = x

Solving
1 + Y2 + 2y = x

Solving for variable 'Y'.

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

Add '-1' to each side of the equation.
1 + Y2 + -1 + 2y = -1 + x

Reorder the terms:
1 + -1 + Y2 + 2y = -1 + x

Combine like terms: 1 + -1 = 0
0 + Y2 + 2y = -1 + x
Y2 + 2y = -1 + x

Add '-2y' to each side of the equation.
Y2 + 2y + -2y = -1 + x + -2y

Combine like terms: 2y + -2y = 0
Y2 + 0 = -1 + x + -2y
Y2 = -1 + x + -2y

Simplifying
Y2 = -1 + x + -2y

Reorder the terms:
1 + Y2 + -1x + 2y = -1 + x + -2y + 1 + -1x + 2y

Reorder the terms:
1 + Y2 + -1x + 2y = -1 + 1 + x + -1x + -2y + 2y

Combine like terms: -1 + 1 = 0
1 + Y2 + -1x + 2y = 0 + x + -1x + -2y + 2y
1 + Y2 + -1x + 2y = x + -1x + -2y + 2y

Combine like terms: x + -1x = 0
1 + Y2 + -1x + 2y = 0 + -2y + 2y
1 + Y2 + -1x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
1 + Y2 + -1x + 2y = 0

The solution to this equation could not be determined.

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