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

Solution for (m+2)(2m-1)=0 equation:

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

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

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

Multiply (2 + m) * (-1 + 2m)
(2(-1 + 2m) + m(-1 + 2m)) = 0
((-1 * 2 + 2m * 2) + m(-1 + 2m)) = 0
((-2 + 4m) + m(-1 + 2m)) = 0
(-2 + 4m + (-1 * m + 2m * m)) = 0
(-2 + 4m + (-1m + 2m2)) = 0

Combine like terms: 4m + -1m = 3m
(-2 + 3m + 2m2) = 0

Solving
-2 + 3m + 2m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

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

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

Divide each side by '-1'.
m = -2

Simplifying
m = -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 = {-2, 0.5}