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

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

Simplifying
-1(2s + 3s) + 3(2s + 3) * 2s = 0

Combine like terms: 2s + 3s = 5s
-1(5s) + 3(2s + 3) * 2s = 0

Remove parenthesis around (5s)
-1 * 5s + 3(2s + 3) * 2s = 0

Multiply -1 * 5
-5s + 3(2s + 3) * 2s = 0

Reorder the terms:
-5s + 3(3 + 2s) * 2s = 0

Reorder the terms for easier multiplication:
-5s + 3 * 2s(3 + 2s) = 0

Multiply 3 * 2
-5s + 6s(3 + 2s) = 0
-5s + (3 * 6s + 2s * 6s) = 0
-5s + (18s + 12s2) = 0

Combine like terms: -5s + 18s = 13s
13s + 12s2 = 0

Solving
13s + 12s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(13 + 12s) = 0

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(13 + 12s)' equal to zero and attempt to solve:

Simplifying
13 + 12s = 0

Solving
13 + 12s = 0

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

Add '-13' to each side of the equation.
13 + -13 + 12s = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 12s = 0 + -13
12s = 0 + -13

Combine like terms: 0 + -13 = -13
12s = -13

Divide each side by '12'.
s = -1.083333333

Simplifying
s = -1.083333333
Solution
s = {0, -1.083333333}