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

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

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

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

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

Multiply (5 + 2m) * (-1 + 6m)
(5(-1 + 6m) + 2m * (-1 + 6m)) = 0
((-1 * 5 + 6m * 5) + 2m * (-1 + 6m)) = 0
((-5 + 30m) + 2m * (-1 + 6m)) = 0
(-5 + 30m + (-1 * 2m + 6m * 2m)) = 0
(-5 + 30m + (-2m + 12m2)) = 0

Combine like terms: 30m + -2m = 28m
(-5 + 28m + 12m2) = 0

Solving
-5 + 28m + 12m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 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 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5
Subproblem 2
Set the factor '(1 + -6m)' equal to zero and attempt to solve:

Simplifying
1 + -6m = 0

Solving
1 + -6m = 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 + -6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6m = 0 + -1
-6m = 0 + -1

Combine like terms: 0 + -1 = -1
-6m = -1

Divide each side by '-6'.
m = 0.1666666667

Simplifying
m = 0.1666666667
Solution
m = {-2.5, 0.1666666667}