36s^2+12s+36=35

Solution for 36s^2+12s+36=35 equation:

Simplifying
36s2 + 12s + 36 = 35

Reorder the terms:
36 + 12s + 36s2 = 35

Solving
36 + 12s + 36s2 = 35

Solving for variable 's'.

Reorder the terms:
36 + -35 + 12s + 36s2 = 35 + -35

Combine like terms: 36 + -35 = 1
1 + 12s + 36s2 = 35 + -35

Combine like terms: 35 + -35 = 0
1 + 12s + 36s2 = 0

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

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

Simplifying
1 + 6s = 0

Solving
1 + 6s = 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 + 6s = 0 + -1

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

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

Divide each side by '6'.
s = -0.1666666667

Simplifying
s = -0.1666666667
Subproblem 2
Set the factor '(1 + 6s)' equal to zero and attempt to solve:

Simplifying
1 + 6s = 0

Solving
1 + 6s = 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 + 6s = 0 + -1

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

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

Divide each side by '6'.
s = -0.1666666667

Simplifying
s = -0.1666666667
Solution
s = {-0.1666666667, -0.1666666667}