m(4m-23)=-15

Solution for m(4m-23)=-15 equation:

Simplifying
m(4m + -23) = -15

Reorder the terms:
m(-23 + 4m) = -15
(-23 * m + 4m * m) = -15
(-23m + 4m2) = -15

Solving
-23m + 4m2 = -15

Solving for variable 'm'.

Reorder the terms:
15 + -23m + 4m2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -23m + 4m2 = 0

Factor a trinomial.
(3 + -4m)(5 + -1m) = 0

Subproblem 1
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 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 + -4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = 0 + -3
-4m = 0 + -3

Combine like terms: 0 + -3 = -3
-4m = -3

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {0.75, 5}