2s(s+3)=4s-5

Solution for 2s(s+3)=4s-5 equation:

Simplifying
2s(s + 3) = 4s + -5

Reorder the terms:
2s(3 + s) = 4s + -5
(3 * 2s + s * 2s) = 4s + -5
(6s + 2s2) = 4s + -5

Reorder the terms:
6s + 2s2 = -5 + 4s

Solving
6s + 2s2 = -5 + 4s

Solving for variable 's'.

Reorder the terms:
5 + 6s + -4s + 2s2 = -5 + 4s + 5 + -4s

Combine like terms: 6s + -4s = 2s
5 + 2s + 2s2 = -5 + 4s + 5 + -4s

Reorder the terms:
5 + 2s + 2s2 = -5 + 5 + 4s + -4s

Combine like terms: -5 + 5 = 0
5 + 2s + 2s2 = 0 + 4s + -4s
5 + 2s + 2s2 = 4s + -4s

Combine like terms: 4s + -4s = 0
5 + 2s + 2s2 = 0

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

Divide each side by '2'.
2.5 + s + s2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + s + -2.5 + s2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + s + s2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + s + s2 = 0 + -2.5
s + s2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
s + s2 = -2.5

The s term is s.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + s2 = -2.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + s2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
1.25 + s2 = -2.25

Factor a perfect square on the left side:
(s + 0.5)(s + 0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.