55S^2+28S-3=

Solution for 55S^2+28S-3= equation:

Simplifying
55S2 + 28S + -3 = 0

Reorder the terms:
-3 + 28S + 55S2 = 0

Solving
-3 + 28S + 55S2 = 0

Solving for variable 'S'.

Factor a trinomial.
(-3 + -5S)(1 + -11S) = 0

Subproblem 1
Set the factor '(-3 + -5S)' equal to zero and attempt to solve:

Simplifying
-3 + -5S = 0

Solving
-3 + -5S = 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 + -5S = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5S = 0 + 3
-5S = 0 + 3

Combine like terms: 0 + 3 = 3
-5S = 3

Divide each side by '-5'.
S = -0.6

Simplifying
S = -0.6
Subproblem 2
Set the factor '(1 + -11S)' equal to zero and attempt to solve:

Simplifying
1 + -11S = 0

Solving
1 + -11S = 0

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

Add '-1' to each side of the equation.
1 + -1 + -11S = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11S = 0 + -1
-11S = 0 + -1

Combine like terms: 0 + -1 = -1
-11S = -1

Divide each side by '-11'.
S = 0.09090909091

Simplifying
S = 0.09090909091
Solution
S = {-0.6, 0.09090909091}