m^2+7m-18=0

Solution for m^2+7m-18=0 equation:

Simplifying
m2 + 7m + -18 = 0

Reorder the terms:
-18 + 7m + m2 = 0

Solving
-18 + 7m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -1m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve:

Simplifying
-9 + -1m = 0

Solving
-9 + -1m = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-9, 2}