m^2+47m-150=0

Solution for m^2+47m-150=0 equation:

Simplifying
m2 + 47m + -150 = 0

Reorder the terms:
-150 + 47m + m2 = 0

Solving
-150 + 47m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-50 + -1m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-50 + -1m)' equal to zero and attempt to solve:

Simplifying
-50 + -1m = 0

Solving
-50 + -1m = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1m = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1m = 0 + 50
-1m = 0 + 50

Combine like terms: 0 + 50 = 50
-1m = 50

Divide each side by '-1'.
m = -50

Simplifying
m = -50
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 = {-50, 3}