(3m-5)(2m+4)=2m+10

Solution for (3m-5)(2m+4)=2m+10 equation:

Simplifying
(3m + -5)(2m + 4) = 2m + 10

Reorder the terms:
(-5 + 3m)(2m + 4) = 2m + 10

Reorder the terms:
(-5 + 3m)(4 + 2m) = 2m + 10

Multiply (-5 + 3m) * (4 + 2m)
(-5(4 + 2m) + 3m * (4 + 2m)) = 2m + 10
((4 * -5 + 2m * -5) + 3m * (4 + 2m)) = 2m + 10
((-20 + -10m) + 3m * (4 + 2m)) = 2m + 10
(-20 + -10m + (4 * 3m + 2m * 3m)) = 2m + 10
(-20 + -10m + (12m + 6m2)) = 2m + 10

Combine like terms: -10m + 12m = 2m
(-20 + 2m + 6m2) = 2m + 10

Reorder the terms:
-20 + 2m + 6m2 = 10 + 2m

Add '-2m' to each side of the equation.
-20 + 2m + -2m + 6m2 = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
-20 + 0 + 6m2 = 10 + 2m + -2m
-20 + 6m2 = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
-20 + 6m2 = 10 + 0
-20 + 6m2 = 10

Solving
-20 + 6m2 = 10

Solving for variable 'm'.

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

Add '20' to each side of the equation.
-20 + 20 + 6m2 = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 6m2 = 10 + 20
6m2 = 10 + 20

Combine like terms: 10 + 20 = 30
6m2 = 30

Divide each side by '6'.
m2 = 5

Simplifying
m2 = 5

Take the square root of each side:
m = {-2.236067978, 2.236067978}