=12s^2-17s+6

Solution for =12s^2-17s+6 equation:

Simplifying
0 = 12s2 + -17s + 6

Reorder the terms:
0 = 6 + -17s + 12s2

Solving
0 = 6 + -17s + 12s2

Solving for variable 's'.

Combine like terms: 0 + -6 = -6
-6 + 17s + -12s2 = 6 + -17s + 12s2 + -6 + 17s + -12s2

Reorder the terms:
-6 + 17s + -12s2 = 6 + -6 + -17s + 17s + 12s2 + -12s2

Combine like terms: 6 + -6 = 0
-6 + 17s + -12s2 = 0 + -17s + 17s + 12s2 + -12s2
-6 + 17s + -12s2 = -17s + 17s + 12s2 + -12s2

Combine like terms: -17s + 17s = 0
-6 + 17s + -12s2 = 0 + 12s2 + -12s2
-6 + 17s + -12s2 = 12s2 + -12s2

Combine like terms: 12s2 + -12s2 = 0
-6 + 17s + -12s2 = 0

Factor a trinomial.
(-3 + 4s)(2 + -3s) = 0

Subproblem 1
Set the factor '(-3 + 4s)' equal to zero and attempt to solve:

Simplifying
-3 + 4s = 0

Solving
-3 + 4s = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4s = 0 + 3
4s = 0 + 3

Combine like terms: 0 + 3 = 3
4s = 3

Divide each side by '4'.
s = 0.75

Simplifying
s = 0.75
Subproblem 2
Set the factor '(2 + -3s)' equal to zero and attempt to solve:

Simplifying
2 + -3s = 0

Solving
2 + -3s = 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 + -3s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3s = 0 + -2
-3s = 0 + -2

Combine like terms: 0 + -2 = -2
-3s = -2

Divide each side by '-3'.
s = 0.6666666667

Simplifying
s = 0.6666666667
Solution
s = {0.75, 0.6666666667}