6s^2+29s-42=0

Solution for 6s^2+29s-42=0 equation:

Simplifying
6s2 + 29s + -42 = 0

Reorder the terms:
-42 + 29s + 6s2 = 0

Solving
-42 + 29s + 6s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(7 + -6s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(7 + -6s)' equal to zero and attempt to solve:

Simplifying
7 + -6s = 0

Solving
7 + -6s = 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 + -6s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6s = 0 + -7
-6s = 0 + -7

Combine like terms: 0 + -7 = -7
-6s = -7

Divide each side by '-6'.
s = 1.166666667

Simplifying
s = 1.166666667
Solution
s = {-6, 1.166666667}