4s^2+3s-27=0

Solution for 4s^2+3s-27=0 equation:

Simplifying
4s2 + 3s + -27 = 0

Reorder the terms:
-27 + 3s + 4s2 = 0

Solving
-27 + 3s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-3 + -1s)(9 + -4s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -4s)' equal to zero and attempt to solve:

Simplifying
9 + -4s = 0

Solving
9 + -4s = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4s = 0 + -9
-4s = 0 + -9

Combine like terms: 0 + -9 = -9
-4s = -9

Divide each side by '-4'.
s = 2.25

Simplifying
s = 2.25
Solution
s = {-3, 2.25}