s^2+2s=35

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

Simplifying
s2 + 2s = 35

Reorder the terms:
2s + s2 = 35

Solving
2s + s2 = 35

Solving for variable 's'.

Reorder the terms:
-35 + 2s + s2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 2s + s2 = 0

Factor a trinomial.
(-7 + -1s)(5 + -1s) = 0

Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve:

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 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 + -1s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1s = 0 + 7
-1s = 0 + 7

Combine like terms: 0 + 7 = 7
-1s = 7

Divide each side by '-1'.
s = -7

Simplifying
s = -7
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 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 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-7, 5}