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

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

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

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

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

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

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

Solving
-3 + -1m + 2m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-1 + -1m = 0

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

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

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

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

Simplifying
m = -1
Subproblem 2
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
Solution
m = {-1, 1.5}