10s^2-29s+10=0

Solution for 10s^2-29s+10=0 equation:

Simplifying
10s2 + -29s + 10 = 0

Reorder the terms:
10 + -29s + 10s2 = 0

Solving
10 + -29s + 10s2 = 0

Solving for variable 's'.

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

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

Simplifying
2 + -5s = 0

Solving
2 + -5s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5s = 0 + -2

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

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

Divide each side by '-5'.
s = 0.4

Simplifying
s = 0.4
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 = {0.4, 2.5}