4m(m-3)(m+7)=

Solution for 4m(m-3)(m+7)= equation:

Simplifying
4m(m + -3)(m + 7) = 0

Reorder the terms:
4m(-3 + m)(m + 7) = 0

Reorder the terms:
4m(-3 + m)(7 + m) = 0

Multiply (-3 + m) * (7 + m)
4m(-3(7 + m) + m(7 + m)) = 0
4m((7 * -3 + m * -3) + m(7 + m)) = 0
4m((-21 + -3m) + m(7 + m)) = 0
4m(-21 + -3m + (7 * m + m * m)) = 0
4m(-21 + -3m + (7m + m2)) = 0

Combine like terms: -3m + 7m = 4m
4m(-21 + 4m + m2) = 0
(-21 * 4m + 4m * 4m + m2 * 4m) = 0
(-84m + 16m2 + 4m3) = 0

Solving
-84m + 16m2 + 4m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m'.
4m(-21 + 4m + m2) = 0

Factor a trinomial.
4m((-7 + -1m)(3 + -1m)) = 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 '(-7 + -1m)' equal to zero and attempt to solve:

Simplifying
-7 + -1m = 0

Solving
-7 + -1m = 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 + -1m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1m = 0 + 7
-1m = 0 + 7

Combine like terms: 0 + 7 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7
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, -7, 3}