6s^2-11s=35

Solution for 6s^2-11s=35 equation:

Simplifying
6s2 + -11s = 35

Reorder the terms:
-11s + 6s2 = 35

Solving
-11s + 6s2 = 35

Solving for variable 's'.

Reorder the terms:
-35 + -11s + 6s2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -11s + 6s2 = 0

Factor a trinomial.
(-5 + -3s)(7 + -2s) = 0

Subproblem 1
Set the factor '(-5 + -3s)' equal to zero and attempt to solve:

Simplifying
-5 + -3s = 0

Solving
-5 + -3s = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3s = 0 + 5
-3s = 0 + 5

Combine like terms: 0 + 5 = 5
-3s = 5

Divide each side by '-3'.
s = -1.666666667

Simplifying
s = -1.666666667
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 = {-1.666666667, 3.5}