35s^2-10s+21s-6=

Solution for 35s^2-10s+21s-6= equation:

Simplifying
35s2 + -10s + 21s + -6 = 0

Reorder the terms:
-6 + -10s + 21s + 35s2 = 0

Combine like terms: -10s + 21s = 11s
-6 + 11s + 35s2 = 0

Solving
-6 + 11s + 35s2 = 0

Solving for variable 's'.

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

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

Simplifying
-3 + -5s = 0

Solving
-3 + -5s = 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 + -5s = 0 + 3

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

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

Divide each side by '-5'.
s = -0.6

Simplifying
s = -0.6
Subproblem 2
Set the factor '(2 + -7s)' equal to zero and attempt to solve:

Simplifying
2 + -7s = 0

Solving
2 + -7s = 0

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

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

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

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

Divide each side by '-7'.
s = 0.2857142857

Simplifying
s = 0.2857142857
Solution
s = {-0.6, 0.2857142857}