2(s+3)-5s(s-1)=32

Solution for 2(s+3)-5s(s-1)=32 equation:

Simplifying
2(s + 3) + -5s(s + -1) = 32

Reorder the terms:
2(3 + s) + -5s(s + -1) = 32
(3 * 2 + s * 2) + -5s(s + -1) = 32
(6 + 2s) + -5s(s + -1) = 32

Reorder the terms:
6 + 2s + -5s(-1 + s) = 32
6 + 2s + (-1 * -5s + s * -5s) = 32
6 + 2s + (5s + -5s2) = 32

Combine like terms: 2s + 5s = 7s
6 + 7s + -5s2 = 32

Solving
6 + 7s + -5s2 = 32

Solving for variable 's'.

Reorder the terms:
6 + -32 + 7s + -5s2 = 32 + -32

Combine like terms: 6 + -32 = -26
-26 + 7s + -5s2 = 32 + -32

Combine like terms: 32 + -32 = 0
-26 + 7s + -5s2 = 0

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

Divide each side by '-5'.
5.2 + -1.4s + s2 = 0

Move the constant term to the right:

Add '-5.2' to each side of the equation.
5.2 + -1.4s + -5.2 + s2 = 0 + -5.2

Reorder the terms:
5.2 + -5.2 + -1.4s + s2 = 0 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -1.4s + s2 = 0 + -5.2
-1.4s + s2 = 0 + -5.2

Combine like terms: 0 + -5.2 = -5.2
-1.4s + s2 = -5.2

The s term is -1.4s.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4s + 0.49 + s2 = -5.2 + 0.49

Reorder the terms:
0.49 + -1.4s + s2 = -5.2 + 0.49

Combine like terms: -5.2 + 0.49 = -4.71
0.49 + -1.4s + s2 = -4.71

Factor a perfect square on the left side:
(s + -0.7)(s + -0.7) = -4.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.