150-5s-5s^2=

Solution for 150-5s-5s^2= equation:

Simplifying
150 + -5s + -5s2 = 0

Solving
150 + -5s + -5s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5'.
5(30 + -1s + -1s2) = 0

Factor a trinomial.
5((5 + -1s)(6 + s)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 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 + s = 0 + -6

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

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

Simplifying
s = -6
Solution
s = {5, -6}