m^2+11m-42=0

Solution for m^2+11m-42=0 equation:

Simplifying
m2 + 11m + -42 = 0

Reorder the terms:
-42 + 11m + m2 = 0

Solving
-42 + 11m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-14 + -1m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-14 + -1m)' equal to zero and attempt to solve:

Simplifying
-14 + -1m = 0

Solving
-14 + -1m = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1m = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1m = 0 + 14
-1m = 0 + 14

Combine like terms: 0 + 14 = 14
-1m = 14

Divide each side by '-1'.
m = -14

Simplifying
m = -14
Subproblem 2
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
Solution
m = {-14, 3}