2s^2-7s+5=0

Solution for 2s^2-7s+5=0 equation:

Simplifying
2s2 + -7s + 5 = 0

Reorder the terms:
5 + -7s + 2s2 = 0

Solving
5 + -7s + 2s2 = 0

Solving for variable 's'.

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

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

Simplifying
5 + -2s = 0

Solving
5 + -2s = 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 + -2s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2s = 0 + -5
-2s = 0 + -5

Combine like terms: 0 + -5 = -5
-2s = -5

Divide each side by '-2'.
s = 2.5

Simplifying
s = 2.5
Solution
s = {1, 2.5}