(x+1)*(x+1)=-1

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Solution for (x+1)*(x+1)=-1 equation:


Simplifying
(x + 1)(x + 1) = -1

Reorder the terms:
(1 + x)(x + 1) = -1

Reorder the terms:
(1 + x)(1 + x) = -1

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = -1
((1 * 1 + x * 1) + x(1 + x)) = -1
((1 + 1x) + x(1 + x)) = -1
(1 + 1x + (1 * x + x * x)) = -1
(1 + 1x + (1x + x2)) = -1

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) = -1

Solving
1 + 2x + x2 = -1

Solving for variable 'x'.

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

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

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

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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