4s^2-51s+140=0

Solution for 4s^2-51s+140=0 equation:

Simplifying
4s2 + -51s + 140 = 0

Reorder the terms:
140 + -51s + 4s2 = 0

Solving
140 + -51s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(4 + -1s)(35 + -4s) = 0

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

Simplifying
4 + -1s = 0

Solving
4 + -1s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Subproblem 2
Set the factor '(35 + -4s)' equal to zero and attempt to solve:

Simplifying
35 + -4s = 0

Solving
35 + -4s = 0

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

Add '-35' to each side of the equation.
35 + -35 + -4s = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -4s = 0 + -35
-4s = 0 + -35

Combine like terms: 0 + -35 = -35
-4s = -35

Divide each side by '-4'.
s = 8.75

Simplifying
s = 8.75
Solution
s = {4, 8.75}