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

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

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

Reorder the terms:
4s(3 + s) = (s + -6)
(3 * 4s + s * 4s) = (s + -6)
(12s + 4s2) = (s + -6)

Reorder the terms:
12s + 4s2 = (-6 + s)

Remove parenthesis around (-6 + s)
12s + 4s2 = -6 + s

Solving
12s + 4s2 = -6 + s

Solving for variable 's'.

Reorder the terms:
6 + 12s + -1s + 4s2 = -6 + s + 6 + -1s

Combine like terms: 12s + -1s = 11s
6 + 11s + 4s2 = -6 + s + 6 + -1s

Reorder the terms:
6 + 11s + 4s2 = -6 + 6 + s + -1s

Combine like terms: -6 + 6 = 0
6 + 11s + 4s2 = 0 + s + -1s
6 + 11s + 4s2 = s + -1s

Combine like terms: s + -1s = 0
6 + 11s + 4s2 = 0

Factor a trinomial.
(2 + s)(3 + 4s) = 0

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 '(3 + 4s)' equal to zero and attempt to solve:

Simplifying
3 + 4s = 0

Solving
3 + 4s = 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 + 4s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4s = 0 + -3
4s = 0 + -3

Combine like terms: 0 + -3 = -3
4s = -3

Divide each side by '4'.
s = -0.75

Simplifying
s = -0.75
Solution
s = {-2, -0.75}