2m^2-5m-18=0

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Solution for 2m^2-5m-18=0 equation: 


Simplifying
2m2 + -5m + -18 = 0

Reorder the terms:
-18 + -5m + 2m2 = 0

Solving
-18 + -5m + 2m2 = 0

Solving for variable 'm'.

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


Subproblem 1
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

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

Simplifying
9 + -2m = 0

Solving
9 + -2m = 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 + -2m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2m = 0 + -9
-2m = 0 + -9

Combine like terms: 0 + -9 = -9
-2m = -9

Divide each side by '-2'.
m = 4.5

Simplifying
m = 4.5
Solution
m = {-2, 4.5}

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