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

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

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

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

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

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

Combine like terms: -9m + -4m = -13m
(9 + -13m + 4m2) = 0

Solving
9 + -13m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(9 + -4m) = 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 '(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 = {1, 2.25}