m^2+16m+68=5

Solution for m^2+16m+68=5 equation:

Simplifying
m2 + 16m + 68 = 5

Reorder the terms:
68 + 16m + m2 = 5

Solving
68 + 16m + m2 = 5

Solving for variable 'm'.

Reorder the terms:
68 + -5 + 16m + m2 = 5 + -5

Combine like terms: 68 + -5 = 63
63 + 16m + m2 = 5 + -5

Combine like terms: 5 + -5 = 0
63 + 16m + m2 = 0

Factor a trinomial.
(9 + m)(7 + m) = 0

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

Simplifying
9 + m = 0

Solving
9 + m = 0

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

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

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Subproblem 2
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

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

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

Simplifying
m = -7
Solution
m = {-9, -7}