-4(s+3)6s=-30

Solution for -4(s+3)6s=-30 equation:

Simplifying
-4(s + 3) * 6s = -30

Reorder the terms:
-4(3 + s) * 6s = -30

Reorder the terms for easier multiplication:
-4 * 6s(3 + s) = -30

Multiply -4 * 6
-24s(3 + s) = -30
(3 * -24s + s * -24s) = -30
(-72s + -24s2) = -30

Solving
-72s + -24s2 = -30

Solving for variable 's'.

Reorder the terms:
30 + -72s + -24s2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -72s + -24s2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -12s + -4s2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(5 + -12s + -4s2)' equal to zero and attempt to solve:

Simplifying
5 + -12s + -4s2 = 0

Solving
5 + -12s + -4s2 = 0

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

Divide each side by '-4'.
-1.25 + 3s + s2 = 0

Move the constant term to the right:

Add '1.25' to each side of the equation.
-1.25 + 3s + 1.25 + s2 = 0 + 1.25

Reorder the terms:
-1.25 + 1.25 + 3s + s2 = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 3s + s2 = 0 + 1.25
3s + s2 = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
3s + s2 = 1.25

The s term is 3s.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3s + 2.25 + s2 = 1.25 + 2.25

Reorder the terms:
2.25 + 3s + s2 = 1.25 + 2.25

Combine like terms: 1.25 + 2.25 = 3.5
2.25 + 3s + s2 = 3.5

Factor a perfect square on the left side:
(s + 1.5)(s + 1.5) = 3.5

Calculate the square root of the right side: 1.870828693

Break this problem into two subproblems by setting 
(s + 1.5) equal to 1.870828693 and -1.870828693.

Subproblem 1
s + 1.5 = 1.870828693

Simplifying
s + 1.5 = 1.870828693

Reorder the terms:
1.5 + s = 1.870828693

Solving
1.5 + s = 1.870828693

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-1.5' to each side of the equation.
1.5 + -1.5 + s = 1.870828693 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + s = 1.870828693 + -1.5
s = 1.870828693 + -1.5

Combine like terms: 1.870828693 + -1.5 = 0.370828693
s = 0.370828693

Simplifying
s = 0.370828693

Subproblem 2
s + 1.5 = -1.870828693

Simplifying
s + 1.5 = -1.870828693

Reorder the terms:
1.5 + s = -1.870828693

Solving
1.5 + s = -1.870828693

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-1.5' to each side of the equation.
1.5 + -1.5 + s = -1.870828693 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + s = -1.870828693 + -1.5
s = -1.870828693 + -1.5

Combine like terms: -1.870828693 + -1.5 = -3.370828693
s = -3.370828693

Simplifying
s = -3.370828693

Solution
The solution to the problem is based on the solutions
from the subproblems.
s = {0.370828693, -3.370828693}
Solution
s = {0.370828693, -3.370828693}