4m(m-3)(2m+10)=0

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Solution for 4m(m-3)(2m+10)=0 equation: 


Simplifying
4m(m + -3)(2m + 10) = 0

Reorder the terms:
4m(-3 + m)(2m + 10) = 0

Reorder the terms:
4m(-3 + m)(10 + 2m) = 0

Multiply (-3 + m) * (10 + 2m)
4m(-3(10 + 2m) + m(10 + 2m)) = 0
4m((10 * -3 + 2m * -3) + m(10 + 2m)) = 0
4m((-30 + -6m) + m(10 + 2m)) = 0
4m(-30 + -6m + (10 * m + 2m * m)) = 0
4m(-30 + -6m + (10m + 2m2)) = 0

Combine like terms: -6m + 10m = 4m
4m(-30 + 4m + 2m2) = 0
(-30 * 4m + 4m * 4m + 2m2 * 4m) = 0
(-120m + 16m2 + 8m3) = 0

Solving
-120m + 16m2 + 8m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8m'.
8m(-15 + 2m + m2) = 0

Factor a trinomial.
8m((-5 + -1m)(3 + -1m)) = 0

Ignore the factor 8.

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 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 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 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5

Subproblem 3
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {0, -5, 3}

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