80=m(m+2)

Solution for 80=m(m+2) equation:

Simplifying
80 = m(m + 2)

Reorder the terms:
80 = m(2 + m)
80 = (2 * m + m * m)
80 = (2m + m2)

Solving
80 = 2m + m2

Solving for variable 'm'.

Reorder the terms:
80 + -2m + -1m2 = 2m + -2m + m2 + -1m2

Combine like terms: 2m + -2m = 0
80 + -2m + -1m2 = 0 + m2 + -1m2
80 + -2m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
80 + -2m + -1m2 = 0

Factor a trinomial.
(8 + -1m)(10 + m) = 0

Subproblem 1
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Subproblem 2
Set the factor '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Solution
m = {8, -10}