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

Solution for (5m+6)(2m-1)=0 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.
(-6 + -5m)(1 + -2m) = 0

Subproblem 1
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
Subproblem 2
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
Solution
m = {-1.2, 0.5}