11x^2+22x+13=0

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Solution for 11x^2+22x+13=0 equation:


Simplifying
11x2 + 22x + 13 = 0

Reorder the terms:
13 + 22x + 11x2 = 0

Solving
13 + 22x + 11x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
11 the coefficient of the squared term: 

Divide each side by '11'.
1.181818182 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.181818182' to each side of the equation.
1.181818182 + 2x + -1.181818182 + x2 = 0 + -1.181818182

Reorder the terms:
1.181818182 + -1.181818182 + 2x + x2 = 0 + -1.181818182

Combine like terms: 1.181818182 + -1.181818182 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.181818182
2x + x2 = 0 + -1.181818182

Combine like terms: 0 + -1.181818182 = -1.181818182
2x + x2 = -1.181818182

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 = -1.181818182 + 1

Reorder the terms:
1 + 2x + x2 = -1.181818182 + 1

Combine like terms: -1.181818182 + 1 = -0.181818182
1 + 2x + x2 = -0.181818182

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.181818182

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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