7u^2+6u=-2

Solution for 7u^2+6u=-2 equation:

Simplifying
7u2 + 6u = -2

Reorder the terms:
6u + 7u2 = -2

Solving
6u + 7u2 = -2

Solving for variable 'u'.

Reorder the terms:
2 + 6u + 7u2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 6u + 7u2 = 0

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

Divide each side by '7'.
0.2857142857 + 0.8571428571u + u2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + 0.8571428571u + -0.2857142857 + u2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + 0.8571428571u + u2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + 0.8571428571u + u2 = 0 + -0.2857142857
0.8571428571u + u2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
0.8571428571u + u2 = -0.2857142857

The u term is 0.8571428571u.  Take half its coefficient (0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
0.8571428571u + 0.1836734694 + u2 = -0.2857142857 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571u + u2 = -0.2857142857 + 0.1836734694

Combine like terms: -0.2857142857 + 0.1836734694 = -0.1020408163
0.1836734694 + 0.8571428571u + u2 = -0.1020408163

Factor a perfect square on the left side:
(u + 0.4285714286)(u + 0.4285714286) = -0.1020408163

Can't calculate square root of the right side.

The solution to this equation could not be determined.