7x^2+11x+6=0

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Solution for 7x^2+11x+6=0 equation:


Simplifying
7x2 + 11x + 6 = 0

Reorder the terms:
6 + 11x + 7x2 = 0

Solving
6 + 11x + 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'.
0.8571428571 + 1.571428571x + x2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 1.571428571x + -0.8571428571 + x2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 1.571428571x + x2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 1.571428571x + x2 = 0 + -0.8571428571
1.571428571x + x2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
1.571428571x + x2 = -0.8571428571

The x term is 1.571428571x.  Take half its coefficient (0.7857142855).
Square it (0.6173469384) and add it to both sides.

Add '0.6173469384' to each side of the equation.
1.571428571x + 0.6173469384 + x2 = -0.8571428571 + 0.6173469384

Reorder the terms:
0.6173469384 + 1.571428571x + x2 = -0.8571428571 + 0.6173469384

Combine like terms: -0.8571428571 + 0.6173469384 = -0.2397959187
0.6173469384 + 1.571428571x + x2 = -0.2397959187

Factor a perfect square on the left side:
(x + 0.7857142855)(x + 0.7857142855) = -0.2397959187

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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