(2s+3)(2s+3)=0

Solution for (2s+3)(2s+3)=0 equation:

Simplifying
(2s + 3)(2s + 3) = 0

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

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

Multiply (3 + 2s) * (3 + 2s)
(3(3 + 2s) + 2s * (3 + 2s)) = 0
((3 * 3 + 2s * 3) + 2s * (3 + 2s)) = 0
((9 + 6s) + 2s * (3 + 2s)) = 0
(9 + 6s + (3 * 2s + 2s * 2s)) = 0
(9 + 6s + (6s + 4s2)) = 0

Combine like terms: 6s + 6s = 12s
(9 + 12s + 4s2) = 0

Solving
9 + 12s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + 2s)(3 + 2s) = 0

Subproblem 1
Set the factor '(3 + 2s)' equal to zero and attempt to solve:

Simplifying
3 + 2s = 0

Solving
3 + 2s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2s = 0 + -3
2s = 0 + -3

Combine like terms: 0 + -3 = -3
2s = -3

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Subproblem 2
Set the factor '(3 + 2s)' equal to zero and attempt to solve:

Simplifying
3 + 2s = 0

Solving
3 + 2s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2s = 0 + -3
2s = 0 + -3

Combine like terms: 0 + -3 = -3
2s = -3

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Solution
s = {-1.5, -1.5}