11x^2+19x+62=0

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Solution for 11x^2+19x+62=0 equation:


Simplifying
11x2 + 19x + 62 = 0

Reorder the terms:
62 + 19x + 11x2 = 0

Solving
62 + 19x + 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'.
5.636363636 + 1.727272727x + x2 = 0

Move the constant term to the right:

Add '-5.636363636' to each side of the equation.
5.636363636 + 1.727272727x + -5.636363636 + x2 = 0 + -5.636363636

Reorder the terms:
5.636363636 + -5.636363636 + 1.727272727x + x2 = 0 + -5.636363636

Combine like terms: 5.636363636 + -5.636363636 = 0.000000000
0.000000000 + 1.727272727x + x2 = 0 + -5.636363636
1.727272727x + x2 = 0 + -5.636363636

Combine like terms: 0 + -5.636363636 = -5.636363636
1.727272727x + x2 = -5.636363636

The x term is 1.727272727x.  Take half its coefficient (0.8636363635).
Square it (0.7458677684) and add it to both sides.

Add '0.7458677684' to each side of the equation.
1.727272727x + 0.7458677684 + x2 = -5.636363636 + 0.7458677684

Reorder the terms:
0.7458677684 + 1.727272727x + x2 = -5.636363636 + 0.7458677684

Combine like terms: -5.636363636 + 0.7458677684 = -4.8904958676
0.7458677684 + 1.727272727x + x2 = -4.8904958676

Factor a perfect square on the left side:
(x + 0.8636363635)(x + 0.8636363635) = -4.8904958676

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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