11x^2+69x+110=0

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Solution for 11x^2+69x+110=0 equation:


Simplifying
11x2 + 69x + 110 = 0

Reorder the terms:
110 + 69x + 11x2 = 0

Solving
110 + 69x + 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'.
10 + 6.272727273x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 6.272727273x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 6.272727273x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 6.272727273x + x2 = 0 + -10
6.272727273x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
6.272727273x + x2 = -10

The x term is 6.272727273x.  Take half its coefficient (3.136363637).
Square it (9.836776864) and add it to both sides.

Add '9.836776864' to each side of the equation.
6.272727273x + 9.836776864 + x2 = -10 + 9.836776864

Reorder the terms:
9.836776864 + 6.272727273x + x2 = -10 + 9.836776864

Combine like terms: -10 + 9.836776864 = -0.163223136
9.836776864 + 6.272727273x + x2 = -0.163223136

Factor a perfect square on the left side:
(x + 3.136363637)(x + 3.136363637) = -0.163223136

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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