m^2-3m-14=4

Solution for m^2-3m-14=4 equation:

Simplifying
m2 + -3m + -14 = 4

Reorder the terms:
-14 + -3m + m2 = 4

Solving
-14 + -3m + m2 = 4

Solving for variable 'm'.

Reorder the terms:
-14 + -4 + -3m + m2 = 4 + -4

Combine like terms: -14 + -4 = -18
-18 + -3m + m2 = 4 + -4

Combine like terms: 4 + -4 = 0
-18 + -3m + m2 = 0

Factor a trinomial.
(-3 + -1m)(6 + -1m) = 0

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

Simplifying
-3 + -1m = 0

Solving
-3 + -1m = 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 + -1m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 0 + 3
-1m = 0 + 3

Combine like terms: 0 + 3 = 3
-1m = 3

Divide each side by '-1'.
m = -3

Simplifying
m = -3
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {-3, 6}