m^2+28m+75=0

Solution for m^2+28m+75=0 equation:

Simplifying
m2 + 28m + 75 = 0

Reorder the terms:
75 + 28m + m2 = 0

Solving
75 + 28m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(25 + m)' equal to zero and attempt to solve:

Simplifying
25 + m = 0

Solving
25 + m = 0

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

Add '-25' to each side of the equation.
25 + -25 + m = 0 + -25

Combine like terms: 25 + -25 = 0
0 + m = 0 + -25
m = 0 + -25

Combine like terms: 0 + -25 = -25
m = -25

Simplifying
m = -25
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 = {-25, -3}