(2m-1)(m-3)=18

Solution for (2m-1)(m-3)=18 equation:

Simplifying
(2m + -1)(m + -3) = 18

Reorder the terms:
(-1 + 2m)(m + -3) = 18

Reorder the terms:
(-1 + 2m)(-3 + m) = 18

Multiply (-1 + 2m) * (-3 + m)
(-1(-3 + m) + 2m * (-3 + m)) = 18
((-3 * -1 + m * -1) + 2m * (-3 + m)) = 18
((3 + -1m) + 2m * (-3 + m)) = 18
(3 + -1m + (-3 * 2m + m * 2m)) = 18
(3 + -1m + (-6m + 2m2)) = 18

Combine like terms: -1m + -6m = -7m
(3 + -7m + 2m2) = 18

Solving
3 + -7m + 2m2 = 18

Solving for variable 'm'.

Reorder the terms:
3 + -18 + -7m + 2m2 = 18 + -18

Combine like terms: 3 + -18 = -15
-15 + -7m + 2m2 = 18 + -18

Combine like terms: 18 + -18 = 0
-15 + -7m + 2m2 = 0

Factor a trinomial.
(-3 + -2m)(5 + -1m) = 0

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 '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-1.5, 5}