11x^2+7x+10=0

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Solution for 11x^2+7x+10=0 equation: 


Simplifying
11x2 + 7x + 10 = 0

Reorder the terms:
10 + 7x + 11x2 = 0

Solving
10 + 7x + 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'.
0.9090909091 + 0.6363636364x + x2 = 0

Move the constant term to the right:

Add '-0.9090909091' to each side of the equation.
0.9090909091 + 0.6363636364x + -0.9090909091 + x2 = 0 + -0.9090909091

Reorder the terms:
0.9090909091 + -0.9090909091 + 0.6363636364x + x2 = 0 + -0.9090909091

Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000
0.0000000000 + 0.6363636364x + x2 = 0 + -0.9090909091
0.6363636364x + x2 = 0 + -0.9090909091

Combine like terms: 0 + -0.9090909091 = -0.9090909091
0.6363636364x + x2 = -0.9090909091

The x term is 0.6363636364x.  Take half its coefficient (0.3181818182).
Square it (0.1012396694) and add it to both sides.

Add '0.1012396694' to each side of the equation.
0.6363636364x + 0.1012396694 + x2 = -0.9090909091 + 0.1012396694

Reorder the terms:
0.1012396694 + 0.6363636364x + x2 = -0.9090909091 + 0.1012396694

Combine like terms: -0.9090909091 + 0.1012396694 = -0.8078512397
0.1012396694 + 0.6363636364x + x2 = -0.8078512397

Factor a perfect square on the left side:
(x + 0.3181818182)(x + 0.3181818182) = -0.8078512397

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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