(7s^2+6)+(8s^2+6s+5)=

Solution for (7s^2+6)+(8s^2+6s+5)= equation:

Simplifying
(7s2 + 6) + (8s2 + 6s + 5) = 0

Reorder the terms:
(6 + 7s2) + (8s2 + 6s + 5) = 0

Remove parenthesis around (6 + 7s2)
6 + 7s2 + (8s2 + 6s + 5) = 0

Reorder the terms:
6 + 7s2 + (5 + 6s + 8s2) = 0

Remove parenthesis around (5 + 6s + 8s2)
6 + 7s2 + 5 + 6s + 8s2 = 0

Reorder the terms:
6 + 5 + 6s + 7s2 + 8s2 = 0

Combine like terms: 6 + 5 = 11
11 + 6s + 7s2 + 8s2 = 0

Combine like terms: 7s2 + 8s2 = 15s2
11 + 6s + 15s2 = 0

Solving
11 + 6s + 15s2 = 0

Solving for variable 's'.

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

Divide each side by '15'.
0.7333333333 + 0.4s + s2 = 0

Move the constant term to the right:

Add '-0.7333333333' to each side of the equation.
0.7333333333 + 0.4s + -0.7333333333 + s2 = 0 + -0.7333333333

Reorder the terms:
0.7333333333 + -0.7333333333 + 0.4s + s2 = 0 + -0.7333333333

Combine like terms: 0.7333333333 + -0.7333333333 = 0.0000000000
0.0000000000 + 0.4s + s2 = 0 + -0.7333333333
0.4s + s2 = 0 + -0.7333333333

Combine like terms: 0 + -0.7333333333 = -0.7333333333
0.4s + s2 = -0.7333333333

The s term is 0.4s.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4s + 0.04 + s2 = -0.7333333333 + 0.04

Reorder the terms:
0.04 + 0.4s + s2 = -0.7333333333 + 0.04

Combine like terms: -0.7333333333 + 0.04 = -0.6933333333
0.04 + 0.4s + s2 = -0.6933333333

Factor a perfect square on the left side:
(s + 0.2)(s + 0.2) = -0.6933333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.