(5m-6)(2m+1)=

Solution for (5m-6)(2m+1)= equation:

Simplifying
(5m + -6)(2m + 1) = 0

Reorder the terms:
(-6 + 5m)(2m + 1) = 0

Reorder the terms:
(-6 + 5m)(1 + 2m) = 0

Multiply (-6 + 5m) * (1 + 2m)
(-6(1 + 2m) + 5m * (1 + 2m)) = 0
((1 * -6 + 2m * -6) + 5m * (1 + 2m)) = 0
((-6 + -12m) + 5m * (1 + 2m)) = 0
(-6 + -12m + (1 * 5m + 2m * 5m)) = 0
(-6 + -12m + (5m + 10m2)) = 0

Combine like terms: -12m + 5m = -7m
(-6 + -7m + 10m2) = 0

Solving
-6 + -7m + 10m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -2m)(6 + -5m) = 0

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(6 + -5m)' equal to zero and attempt to solve:

Simplifying
6 + -5m = 0

Solving
6 + -5m = 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 + -5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = 0 + -6
-5m = 0 + -6

Combine like terms: 0 + -6 = -6
-5m = -6

Divide each side by '-5'.
m = 1.2

Simplifying
m = 1.2
Solution
m = {-0.5, 1.2}