2s^2+48s-50=0

Solution for 2s^2+48s-50=0 equation:

Simplifying
2s2 + 48s + -50 = 0

Reorder the terms:
-50 + 48s + 2s2 = 0

Solving
-50 + 48s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 24s + s2) = 0

Factor a trinomial.
2((-25 + -1s)(1 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-25 + -1s)' equal to zero and attempt to solve:

Simplifying
-25 + -1s = 0

Solving
-25 + -1s = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1s = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1s = 0 + 25
-1s = 0 + 25

Combine like terms: 0 + 25 = 25
-1s = 25

Divide each side by '-1'.
s = -25

Simplifying
s = -25
Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve:

Simplifying
1 + -1s = 0

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

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

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

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

Simplifying
s = 1
Solution
s = {-25, 1}