5s(2+3s-11)=150

Solution for 5s(2+3s-11)=150 equation:

Simplifying
5s(2 + 3s + -11) = 150

Reorder the terms:
5s(2 + -11 + 3s) = 150

Combine like terms: 2 + -11 = -9
5s(-9 + 3s) = 150
(-9 * 5s + 3s * 5s) = 150
(-45s + 15s2) = 150

Solving
-45s + 15s2 = 150

Solving for variable 's'.

Reorder the terms:
-150 + -45s + 15s2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + -45s + 15s2 = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(-10 + -3s + s2) = 0

Factor a trinomial.
15((-2 + -1s)(5 + -1s)) = 0

Ignore the factor 15.
Subproblem 1
Set the factor '(-2 + -1s)' equal to zero and attempt to solve:

Simplifying
-2 + -1s = 0

Solving
-2 + -1s = 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 + -1s = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1s = 0 + 2
-1s = 0 + 2

Combine like terms: 0 + 2 = 2
-1s = 2

Divide each side by '-1'.
s = -2

Simplifying
s = -2
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-2, 5}