s(3s+3)=126

Solution for s(3s+3)=126 equation:

Simplifying
s(3s + 3) = 126

Reorder the terms:
s(3 + 3s) = 126
(3 * s + 3s * s) = 126
(3s + 3s2) = 126

Solving
3s + 3s2 = 126

Solving for variable 's'.

Reorder the terms:
-126 + 3s + 3s2 = 126 + -126

Combine like terms: 126 + -126 = 0
-126 + 3s + 3s2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-42 + s + s2) = 0

Factor a trinomial.
3((-7 + -1s)(6 + -1s)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve:

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1s = 0 + 7
-1s = 0 + 7

Combine like terms: 0 + 7 = 7
-1s = 7

Divide each side by '-1'.
s = -7

Simplifying
s = -7
Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {-7, 6}