(2m+3)(6m-2)=

Solution for (2m+3)(6m-2)= equation:

Simplifying
(2m + 3)(6m + -2) = 0

Reorder the terms:
(3 + 2m)(6m + -2) = 0

Reorder the terms:
(3 + 2m)(-2 + 6m) = 0

Multiply (3 + 2m) * (-2 + 6m)
(3(-2 + 6m) + 2m * (-2 + 6m)) = 0
((-2 * 3 + 6m * 3) + 2m * (-2 + 6m)) = 0
((-6 + 18m) + 2m * (-2 + 6m)) = 0
(-6 + 18m + (-2 * 2m + 6m * 2m)) = 0
(-6 + 18m + (-4m + 12m2)) = 0

Combine like terms: 18m + -4m = 14m
(-6 + 14m + 12m2) = 0

Solving
-6 + 14m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 7m + 6m2) = 0

Factor a trinomial.
2((-3 + -2m)(1 + -3m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve:

Simplifying
-3 + -2m = 0

Solving
-3 + -2m = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2m = 0 + 3
-2m = 0 + 3

Combine like terms: 0 + 3 = 3
-2m = 3

Divide each side by '-2'.
m = -1.5

Simplifying
m = -1.5
Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve:

Simplifying
1 + -3m = 0

Solving
1 + -3m = 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 + -3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3m = 0 + -1
-3m = 0 + -1

Combine like terms: 0 + -1 = -1
-3m = -1

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {-1.5, 0.3333333333}