(m-1)(2m+5)=60

Solution for (m-1)(2m+5)=60 equation:

Simplifying
(m + -1)(2m + 5) = 60

Reorder the terms:
(-1 + m)(2m + 5) = 60

Reorder the terms:
(-1 + m)(5 + 2m) = 60

Multiply (-1 + m) * (5 + 2m)
(-1(5 + 2m) + m(5 + 2m)) = 60
((5 * -1 + 2m * -1) + m(5 + 2m)) = 60
((-5 + -2m) + m(5 + 2m)) = 60
(-5 + -2m + (5 * m + 2m * m)) = 60
(-5 + -2m + (5m + 2m2)) = 60

Combine like terms: -2m + 5m = 3m
(-5 + 3m + 2m2) = 60

Solving
-5 + 3m + 2m2 = 60

Solving for variable 'm'.

Reorder the terms:
-5 + -60 + 3m + 2m2 = 60 + -60

Combine like terms: -5 + -60 = -65
-65 + 3m + 2m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-65 + 3m + 2m2 = 0

Factor a trinomial.
(-13 + -2m)(5 + -1m) = 0

Subproblem 1
Set the factor '(-13 + -2m)' equal to zero and attempt to solve:

Simplifying
-13 + -2m = 0

Solving
-13 + -2m = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2m = 0 + 13

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

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

Divide each side by '-2'.
m = -6.5

Simplifying
m = -6.5
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 = {-6.5, 5}