5s=-4s^2-6

Solution for 5s=-4s^2-6 equation:

Simplifying
5s = -4s2 + -6

Reorder the terms:
5s = -6 + -4s2

Solving
5s = -6 + -4s2

Solving for variable 's'.

Reorder the terms:
6 + 5s + 4s2 = -6 + -4s2 + 6 + 4s2

Reorder the terms:
6 + 5s + 4s2 = -6 + 6 + -4s2 + 4s2

Combine like terms: -6 + 6 = 0
6 + 5s + 4s2 = 0 + -4s2 + 4s2
6 + 5s + 4s2 = -4s2 + 4s2

Combine like terms: -4s2 + 4s2 = 0
6 + 5s + 4s2 = 0

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

Divide each side by '4'.
1.5 + 1.25s + s2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.25s + -1.5 + s2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.25s + s2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.25s + s2 = 0 + -1.5
1.25s + s2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.25s + s2 = -1.5

The s term is 1.25s.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25s + 0.390625 + s2 = -1.5 + 0.390625

Reorder the terms:
0.390625 + 1.25s + s2 = -1.5 + 0.390625

Combine like terms: -1.5 + 0.390625 = -1.109375
0.390625 + 1.25s + s2 = -1.109375

Factor a perfect square on the left side:
(s + 0.625)(s + 0.625) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.