(4m-5)(3m-6)=0

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Solution for (4m-5)(3m-6)=0 equation: 


Simplifying
(4m + -5)(3m + -6) = 0

Reorder the terms:
(-5 + 4m)(3m + -6) = 0

Reorder the terms:
(-5 + 4m)(-6 + 3m) = 0

Multiply (-5 + 4m) * (-6 + 3m)
(-5(-6 + 3m) + 4m * (-6 + 3m)) = 0
((-6 * -5 + 3m * -5) + 4m * (-6 + 3m)) = 0
((30 + -15m) + 4m * (-6 + 3m)) = 0
(30 + -15m + (-6 * 4m + 3m * 4m)) = 0
(30 + -15m + (-24m + 12m2)) = 0

Combine like terms: -15m + -24m = -39m
(30 + -39m + 12m2) = 0

Solving
30 + -39m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -13m + 4m2) = 0

Factor a trinomial.
3((5 + -4m)(2 + -1m)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -4m)' equal to zero and attempt to solve:

Simplifying
5 + -4m = 0

Solving
5 + -4m = 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 + -4m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4m = 0 + -5
-4m = 0 + -5

Combine like terms: 0 + -5 = -5
-4m = -5

Divide each side by '-4'.
m = 1.25

Simplifying
m = 1.25

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {1.25, 2}

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