m(2m-13)=15

Solution for m(2m-13)=15 equation:

Simplifying
m(2m + -13) = 15

Reorder the terms:
m(-13 + 2m) = 15
(-13 * m + 2m * m) = 15
(-13m + 2m2) = 15

Solving
-13m + 2m2 = 15

Solving for variable 'm'.

Reorder the terms:
-15 + -13m + 2m2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -13m + 2m2 = 0

Factor a trinomial.
(-1 + -1m)(15 + -2m) = 0

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

Simplifying
m = -1
Subproblem 2
Set the factor '(15 + -2m)' equal to zero and attempt to solve:

Simplifying
15 + -2m = 0

Solving
15 + -2m = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2m = 0 + -15
-2m = 0 + -15

Combine like terms: 0 + -15 = -15
-2m = -15

Divide each side by '-2'.
m = 7.5

Simplifying
m = 7.5
Solution
m = {-1, 7.5}