m(2m+7)(3m-5)=0

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Solution for m(2m+7)(3m-5)=0 equation: 


Simplifying
m(2m + 7)(3m + -5) = 0

Reorder the terms:
m(7 + 2m)(3m + -5) = 0

Reorder the terms:
m(7 + 2m)(-5 + 3m) = 0

Multiply (7 + 2m) * (-5 + 3m)
m(7(-5 + 3m) + 2m * (-5 + 3m)) = 0
m((-5 * 7 + 3m * 7) + 2m * (-5 + 3m)) = 0
m((-35 + 21m) + 2m * (-5 + 3m)) = 0
m(-35 + 21m + (-5 * 2m + 3m * 2m)) = 0
m(-35 + 21m + (-10m + 6m2)) = 0

Combine like terms: 21m + -10m = 11m
m(-35 + 11m + 6m2) = 0
(-35 * m + 11m * m + 6m2 * m) = 0
(-35m + 11m2 + 6m3) = 0

Solving
-35m + 11m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-35 + 11m + 6m2) = 0

Factor a trinomial.
m((-7 + -2m)(5 + -3m)) = 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 '(-7 + -2m)' equal to zero and attempt to solve:

Simplifying
-7 + -2m = 0

Solving
-7 + -2m = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = 0 + 7
-2m = 0 + 7

Combine like terms: 0 + 7 = 7
-2m = 7

Divide each side by '-2'.
m = -3.5

Simplifying
m = -3.5

Subproblem 3
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, -3.5, 1.666666667}

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