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

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


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

Remove parenthesis around (4m)
4m(3m + -5) = 0

Reorder the terms:
4m(-5 + 3m) = 0
(-5 * 4m + 3m * 4m) = 0
(-20m + 12m2) = 0

Solving
-20m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m'.
4m(-5 + 3m) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-5 + 3m)' equal to zero and attempt to solve:

Simplifying
-5 + 3m = 0

Solving
-5 + 3m = 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 + 3m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3m = 0 + 5
3m = 0 + 5

Combine like terms: 0 + 5 = 5
3m = 5

Divide each side by '3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {0, 1.666666667}

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