6m(5m-12)=0

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Solution for 6m(5m-12)=0 equation: 


Simplifying
6m(5m + -12) = 0

Reorder the terms:
6m(-12 + 5m) = 0
(-12 * 6m + 5m * 6m) = 0
(-72m + 30m2) = 0

Solving
-72m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-12 + 5m) = 0

Ignore the factor 6.

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 '(-12 + 5m)' equal to zero and attempt to solve:

Simplifying
-12 + 5m = 0

Solving
-12 + 5m = 0

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

Add '12' to each side of the equation.
-12 + 12 + 5m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5m = 0 + 12
5m = 0 + 12

Combine like terms: 0 + 12 = 12
5m = 12

Divide each side by '5'.
m = 2.4

Simplifying
m = 2.4
Solution
m = {0, 2.4}

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