(m+3)(m+10)=

Solution for (m+3)(m+10)= equation:

Simplifying
(m + 3)(m + 10) = 0

Reorder the terms:
(3 + m)(m + 10) = 0

Reorder the terms:
(3 + m)(10 + m) = 0

Multiply (3 + m) * (10 + m)
(3(10 + m) + m(10 + m)) = 0
((10 * 3 + m * 3) + m(10 + m)) = 0
((30 + 3m) + m(10 + m)) = 0
(30 + 3m + (10 * m + m * m)) = 0
(30 + 3m + (10m + m2)) = 0

Combine like terms: 3m + 10m = 13m
(30 + 13m + m2) = 0

Solving
30 + 13m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(10 + m)(3 + m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {-10, -3}