7x^2+8x=-6

Solution for 7x^2+8x=-6 equation:

Simplifying
7x2 + 8x = -6

Reorder the terms:
8x + 7x2 = -6

Solving
8x + 7x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + 8x + 7x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 8x + 7x2 = 0

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

Divide each side by '7'.
0.8571428571 + 1.142857143x + x2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 1.142857143x + -0.8571428571 + x2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 1.142857143x + x2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 1.142857143x + x2 = 0 + -0.8571428571
1.142857143x + x2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
1.142857143x + x2 = -0.8571428571

The x term is 1.142857143x.  Take half its coefficient (0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
1.142857143x + 0.3265306123 + x2 = -0.8571428571 + 0.3265306123

Reorder the terms:
0.3265306123 + 1.142857143x + x2 = -0.8571428571 + 0.3265306123

Combine like terms: -0.8571428571 + 0.3265306123 = -0.5306122448
0.3265306123 + 1.142857143x + x2 = -0.5306122448

Factor a perfect square on the left side:
(x + 0.5714285715)(x + 0.5714285715) = -0.5306122448

Can't calculate square root of the right side.

The solution to this equation could not be determined.