4m^2-15m-54=0

Solution for 4m^2-15m-54=0 equation:

Simplifying
4m2 + -15m + -54 = 0

Reorder the terms:
-54 + -15m + 4m2 = 0

Solving
-54 + -15m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -4m)(6 + -1m) = 0

Subproblem 1
Set the factor '(-9 + -4m)' equal to zero and attempt to solve:

Simplifying
-9 + -4m = 0

Solving
-9 + -4m = 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 + -4m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4m = 0 + 9
-4m = 0 + 9

Combine like terms: 0 + 9 = 9
-4m = 9

Divide each side by '-4'.
m = -2.25

Simplifying
m = -2.25
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 = {-2.25, 6}