7x^2+9x=-6

Solution for 7x^2+9x=-6 equation:

Simplifying
7x2 + 9x = -6

Reorder the terms:
9x + 7x2 = -6

Solving
9x + 7x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + 9x + 7x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 9x + 7x2 = 0

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

Divide each side by '7'.
0.8571428571 + 1.285714286x + x2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 1.285714286x + -0.8571428571 + x2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 1.285714286x + x2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 1.285714286x + x2 = 0 + -0.8571428571
1.285714286x + x2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
1.285714286x + x2 = -0.8571428571

The x term is 1.285714286x.  Take half its coefficient (0.642857143).
Square it (0.4132653063) and add it to both sides.

Add '0.4132653063' to each side of the equation.
1.285714286x + 0.4132653063 + x2 = -0.8571428571 + 0.4132653063

Reorder the terms:
0.4132653063 + 1.285714286x + x2 = -0.8571428571 + 0.4132653063

Combine like terms: -0.8571428571 + 0.4132653063 = -0.4438775508
0.4132653063 + 1.285714286x + x2 = -0.4438775508

Factor a perfect square on the left side:
(x + 0.642857143)(x + 0.642857143) = -0.4438775508

Can't calculate square root of the right side.

The solution to this equation could not be determined.