m^2(12m+20)-25m=0

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Solution for m^2(12m+20)-25m=0 equation: 


Simplifying
m2(12m + 20) + -25m = 0

Reorder the terms:
m2(20 + 12m) + -25m = 0
(20 * m2 + 12m * m2) + -25m = 0
(20m2 + 12m3) + -25m = 0

Reorder the terms:
-25m + 20m2 + 12m3 = 0

Solving
-25m + 20m2 + 12m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-25 + 20m + 12m2) = 0

Factor a trinomial.
m((-5 + -2m)(5 + -6m)) = 0


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 + -2m)' equal to zero and attempt to solve:

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 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 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5

Subproblem 3
Set the factor '(5 + -6m)' equal to zero and attempt to solve:

Simplifying
5 + -6m = 0

Solving
5 + -6m = 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 + -6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6m = 0 + -5
-6m = 0 + -5

Combine like terms: 0 + -5 = -5
-6m = -5

Divide each side by '-6'.
m = 0.8333333333

Simplifying
m = 0.8333333333
Solution
m = {0, -2.5, 0.8333333333}

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