(2m+1)(m-3)=0

Solution for (2m+1)(m-3)=0 equation:

Simplifying
(2m + 1)(m + -3) = 0

Reorder the terms:
(1 + 2m)(m + -3) = 0

Reorder the terms:
(1 + 2m)(-3 + m) = 0

Multiply (1 + 2m) * (-3 + m)
(1(-3 + m) + 2m * (-3 + m)) = 0
((-3 * 1 + m * 1) + 2m * (-3 + m)) = 0
((-3 + 1m) + 2m * (-3 + m)) = 0
(-3 + 1m + (-3 * 2m + m * 2m)) = 0
(-3 + 1m + (-6m + 2m2)) = 0

Combine like terms: 1m + -6m = -5m
(-3 + -5m + 2m2) = 0

Solving
-3 + -5m + 2m2 = 0

Solving for variable 'm'.

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

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

Simplifying
3 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-0.5, 3}