4s^2-15s+9=0

Solution for 4s^2-15s+9=0 equation:

Simplifying
4s2 + -15s + 9 = 0

Reorder the terms:
9 + -15s + 4s2 = 0

Solving
9 + -15s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -4s)(3 + -1s) = 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 '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 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 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {0.75, 3}