11x^2+6x+5=-8

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Solution for 11x^2+6x+5=-8 equation:


Simplifying
11x2 + 6x + 5 = -8

Reorder the terms:
5 + 6x + 11x2 = -8

Solving
5 + 6x + 11x2 = -8

Solving for variable 'x'.

Reorder the terms:
5 + 8 + 6x + 11x2 = -8 + 8

Combine like terms: 5 + 8 = 13
13 + 6x + 11x2 = -8 + 8

Combine like terms: -8 + 8 = 0
13 + 6x + 11x2 = 0

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

Divide each side by '11'.
1.181818182 + 0.5454545455x + x2 = 0

Move the constant term to the right:

Add '-1.181818182' to each side of the equation.
1.181818182 + 0.5454545455x + -1.181818182 + x2 = 0 + -1.181818182

Reorder the terms:
1.181818182 + -1.181818182 + 0.5454545455x + x2 = 0 + -1.181818182

Combine like terms: 1.181818182 + -1.181818182 = 0.000000000
0.000000000 + 0.5454545455x + x2 = 0 + -1.181818182
0.5454545455x + x2 = 0 + -1.181818182

Combine like terms: 0 + -1.181818182 = -1.181818182
0.5454545455x + x2 = -1.181818182

The x term is 0.5454545455x.  Take half its coefficient (0.2727272728).
Square it (0.07438016533) and add it to both sides.

Add '0.07438016533' to each side of the equation.
0.5454545455x + 0.07438016533 + x2 = -1.181818182 + 0.07438016533

Reorder the terms:
0.07438016533 + 0.5454545455x + x2 = -1.181818182 + 0.07438016533

Combine like terms: -1.181818182 + 0.07438016533 = -1.10743801667
0.07438016533 + 0.5454545455x + x2 = -1.10743801667

Factor a perfect square on the left side:
(x + 0.2727272728)(x + 0.2727272728) = -1.10743801667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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