5s(s+2)=8(s-1)

Solution for 5s(s+2)=8(s-1) equation:

Simplifying
5s(s + 2) = 8(s + -1)

Reorder the terms:
5s(2 + s) = 8(s + -1)
(2 * 5s + s * 5s) = 8(s + -1)
(10s + 5s2) = 8(s + -1)

Reorder the terms:
10s + 5s2 = 8(-1 + s)
10s + 5s2 = (-1 * 8 + s * 8)
10s + 5s2 = (-8 + 8s)

Solving
10s + 5s2 = -8 + 8s

Solving for variable 's'.

Reorder the terms:
8 + 10s + -8s + 5s2 = -8 + 8s + 8 + -8s

Combine like terms: 10s + -8s = 2s
8 + 2s + 5s2 = -8 + 8s + 8 + -8s

Reorder the terms:
8 + 2s + 5s2 = -8 + 8 + 8s + -8s

Combine like terms: -8 + 8 = 0
8 + 2s + 5s2 = 0 + 8s + -8s
8 + 2s + 5s2 = 8s + -8s

Combine like terms: 8s + -8s = 0
8 + 2s + 5s2 = 0

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

Divide each side by '5'.
1.6 + 0.4s + s2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 0.4s + -1.6 + s2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 0.4s + s2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.4s + s2 = 0 + -1.6
0.4s + s2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
0.4s + s2 = -1.6

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 = -1.6 + 0.04

Reorder the terms:
0.04 + 0.4s + s2 = -1.6 + 0.04

Combine like terms: -1.6 + 0.04 = -1.56
0.04 + 0.4s + s2 = -1.56

Factor a perfect square on the left side:
(s + 0.2)(s + 0.2) = -1.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.