10s^2+27s-28=0

Solution for 10s^2+27s-28=0 equation:

Simplifying
10s2 + 27s + -28 = 0

Reorder the terms:
-28 + 27s + 10s2 = 0

Solving
-28 + 27s + 10s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -2s)(4 + -5s) = 0

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

Simplifying
-7 + -2s = 0

Solving
-7 + -2s = 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 + -2s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2s = 0 + 7
-2s = 0 + 7

Combine like terms: 0 + 7 = 7
-2s = 7

Divide each side by '-2'.
s = -3.5

Simplifying
s = -3.5
Subproblem 2
Set the factor '(4 + -5s)' equal to zero and attempt to solve:

Simplifying
4 + -5s = 0

Solving
4 + -5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5s = 0 + -4
-5s = 0 + -4

Combine like terms: 0 + -4 = -4
-5s = -4

Divide each side by '-5'.
s = 0.8

Simplifying
s = 0.8
Solution
s = {-3.5, 0.8}