(2m-1)(4m-9)=0

Solution for (2m-1)(4m-9)=0 equation:

Simplifying
(2m + -1)(4m + -9) = 0

Reorder the terms:
(-1 + 2m)(4m + -9) = 0

Reorder the terms:
(-1 + 2m)(-9 + 4m) = 0

Multiply (-1 + 2m) * (-9 + 4m)
(-1(-9 + 4m) + 2m * (-9 + 4m)) = 0
((-9 * -1 + 4m * -1) + 2m * (-9 + 4m)) = 0
((9 + -4m) + 2m * (-9 + 4m)) = 0
(9 + -4m + (-9 * 2m + 4m * 2m)) = 0
(9 + -4m + (-18m + 8m2)) = 0

Combine like terms: -4m + -18m = -22m
(9 + -22m + 8m2) = 0

Solving
9 + -22m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -2m)(9 + -4m) = 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 '(9 + -4m)' equal to zero and attempt to solve:

Simplifying
9 + -4m = 0

Solving
9 + -4m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4m = 0 + -9
-4m = 0 + -9

Combine like terms: 0 + -9 = -9
-4m = -9

Divide each side by '-4'.
m = 2.25

Simplifying
m = 2.25
Solution
m = {0.5, 2.25}