7x+6=-20x^2

Solution for 7x+6=-20x^2 equation:

Simplifying
7x + 6 = -20x2

Reorder the terms:
6 + 7x = -20x2

Solving
6 + 7x = -20x2

Solving for variable 'x'.

Combine like terms: -20x2 + 20x2 = 0
6 + 7x + 20x2 = 0

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

Divide each side by '20'.
0.3 + 0.35x + x2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + 0.35x + -0.3 + x2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + 0.35x + x2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.35x + x2 = 0 + -0.3
0.35x + x2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
0.35x + x2 = -0.3

The x term is 0.35x.  Take half its coefficient (0.175).
Square it (0.030625) and add it to both sides.

Add '0.030625' to each side of the equation.
0.35x + 0.030625 + x2 = -0.3 + 0.030625

Reorder the terms:
0.030625 + 0.35x + x2 = -0.3 + 0.030625

Combine like terms: -0.3 + 0.030625 = -0.269375
0.030625 + 0.35x + x2 = -0.269375

Factor a perfect square on the left side:
(x + 0.175)(x + 0.175) = -0.269375

Can't calculate square root of the right side.

The solution to this equation could not be determined.