x^2+2x+1=-10

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Solution for x^2+2x+1=-10 equation: 


Simplifying
x2 + 2x + 1 = -10

Reorder the terms:
1 + 2x + x2 = -10

Solving
1 + 2x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
1 + 10 + 2x + x2 = -10 + 10

Combine like terms: 1 + 10 = 11
11 + 2x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
11 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 2x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x + x2 = 0 + -11
2x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
2x + x2 = -11

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -11 + 1

Reorder the terms:
1 + 2x + x2 = -11 + 1

Combine like terms: -11 + 1 = -10
1 + 2x + x2 = -10

Factor a perfect square on the left side:
(x + 1)(x + 1) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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