11x^2+5x-5=-12

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Solution for 11x^2+5x-5=-12 equation: 


Simplifying
11x2 + 5x + -5 = -12

Reorder the terms:
-5 + 5x + 11x2 = -12

Solving
-5 + 5x + 11x2 = -12

Solving for variable 'x'.

Reorder the terms:
-5 + 12 + 5x + 11x2 = -12 + 12

Combine like terms: -5 + 12 = 7
7 + 5x + 11x2 = -12 + 12

Combine like terms: -12 + 12 = 0
7 + 5x + 11x2 = 0

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

Divide each side by '11'.
0.6363636364 + 0.4545454545x + x2 = 0

Move the constant term to the right:

Add '-0.6363636364' to each side of the equation.
0.6363636364 + 0.4545454545x + -0.6363636364 + x2 = 0 + -0.6363636364

Reorder the terms:
0.6363636364 + -0.6363636364 + 0.4545454545x + x2 = 0 + -0.6363636364

Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000
0.0000000000 + 0.4545454545x + x2 = 0 + -0.6363636364
0.4545454545x + x2 = 0 + -0.6363636364

Combine like terms: 0 + -0.6363636364 = -0.6363636364
0.4545454545x + x2 = -0.6363636364

The x term is 0.4545454545x.  Take half its coefficient (0.2272727273).
Square it (0.05165289257) and add it to both sides.

Add '0.05165289257' to each side of the equation.
0.4545454545x + 0.05165289257 + x2 = -0.6363636364 + 0.05165289257

Reorder the terms:
0.05165289257 + 0.4545454545x + x2 = -0.6363636364 + 0.05165289257

Combine like terms: -0.6363636364 + 0.05165289257 = -0.58471074383
0.05165289257 + 0.4545454545x + x2 = -0.58471074383

Factor a perfect square on the left side:
(x + 0.2272727273)(x + 0.2272727273) = -0.58471074383

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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