s^2+4s=45

Solution for s^2+4s=45 equation:

Simplifying
s2 + 4s = 45

Reorder the terms:
4s + s2 = 45

Solving
4s + s2 = 45

Solving for variable 's'.

Reorder the terms:
-45 + 4s + s2 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + 4s + s2 = 0

Factor a trinomial.
(-9 + -1s)(5 + -1s) = 0

Subproblem 1
Set the factor '(-9 + -1s)' equal to zero and attempt to solve:

Simplifying
-9 + -1s = 0

Solving
-9 + -1s = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1s = 0 + 9
-1s = 0 + 9

Combine like terms: 0 + 9 = 9
-1s = 9

Divide each side by '-1'.
s = -9

Simplifying
s = -9
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 = {-9, 5}