7s^2-21s+14=0

Solution for 7s^2-21s+14=0 equation:

Simplifying
7s2 + -21s + 14 = 0

Reorder the terms:
14 + -21s + 7s2 = 0

Solving
14 + -21s + 7s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '7'.
7(2 + -3s + s2) = 0

Factor a trinomial.
7((1 + -1s)(2 + -1s)) = 0

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 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 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {1, 2}