7x^2+10x+11=0

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


Simplifying
7x2 + 10x + 11 = 0

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

Solving
11 + 10x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
1.571428571 + 1.428571429x + x2 = 0

Move the constant term to the right:

Add '-1.571428571' to each side of the equation.
1.571428571 + 1.428571429x + -1.571428571 + x2 = 0 + -1.571428571

Reorder the terms:
1.571428571 + -1.571428571 + 1.428571429x + x2 = 0 + -1.571428571

Combine like terms: 1.571428571 + -1.571428571 = 0.000000000
0.000000000 + 1.428571429x + x2 = 0 + -1.571428571
1.428571429x + x2 = 0 + -1.571428571

Combine like terms: 0 + -1.571428571 = -1.571428571
1.428571429x + x2 = -1.571428571

The x term is 1.428571429x.  Take half its coefficient (0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
1.428571429x + 0.5102040819 + x2 = -1.571428571 + 0.5102040819

Reorder the terms:
0.5102040819 + 1.428571429x + x2 = -1.571428571 + 0.5102040819

Combine like terms: -1.571428571 + 0.5102040819 = -1.0612244891
0.5102040819 + 1.428571429x + x2 = -1.0612244891

Factor a perfect square on the left side:
(x + 0.7142857145)(x + 0.7142857145) = -1.0612244891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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