4s^2+5s+4=0

Solution for 4s^2+5s+4=0 equation:

Simplifying
4s2 + 5s + 4 = 0

Reorder the terms:
4 + 5s + 4s2 = 0

Solving
4 + 5s + 4s2 = 0

Solving for variable 's'.

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

Divide each side by '4'.
1 + 1.25s + s2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.25s + -1 + s2 = 0 + -1

Reorder the terms:
1 + -1 + 1.25s + s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.25s + s2 = 0 + -1
1.25s + s2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.25s + s2 = -1

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 + 0.390625

Reorder the terms:
0.390625 + 1.25s + s2 = -1 + 0.390625

Combine like terms: -1 + 0.390625 = -0.609375
0.390625 + 1.25s + s2 = -0.609375

Factor a perfect square on the left side:
(s + 0.625)(s + 0.625) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.