4s^2-12s-7=0

Solution for 4s^2-12s-7=0 equation:

Simplifying
4s2 + -12s + -7 = 0

Reorder the terms:
-7 + -12s + 4s2 = 0

Solving
-7 + -12s + 4s2 = 0

Solving for variable 's'.

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

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

Simplifying
-1 + -2s = 0

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

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

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

Divide each side by '-2'.
s = -0.5

Simplifying
s = -0.5
Subproblem 2
Set the factor '(7 + -2s)' equal to zero and attempt to solve:

Simplifying
7 + -2s = 0

Solving
7 + -2s = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2s = 0 + -7
-2s = 0 + -7

Combine like terms: 0 + -7 = -7
-2s = -7

Divide each side by '-2'.
s = 3.5

Simplifying
s = 3.5
Solution
s = {-0.5, 3.5}