4s(s+3)-2(1-5)=

Solution for 4s(s+3)-2(1-5)= equation:

Simplifying
4s(s + 3) + -2(1 + -5) = 0

Reorder the terms:
4s(3 + s) + -2(1 + -5) = 0
(3 * 4s + s * 4s) + -2(1 + -5) = 0
(12s + 4s2) + -2(1 + -5) = 0

Combine like terms: 1 + -5 = -4
12s + 4s2 + -2(-4) = 0

Multiply -2 * -4
12s + 4s2 + 8 = 0

Reorder the terms:
8 + 12s + 4s2 = 0

Solving
8 + 12s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + 3s + s2) = 0

Factor a trinomial.
4((2 + s)(1 + s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + s = 0 + -2
s = 0 + -2

Combine like terms: 0 + -2 = -2
s = -2

Simplifying
s = -2
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

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

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

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

Simplifying
s = -1
Solution
s = {-2, -1}