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

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


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

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

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

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

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

Solving
-21m + -4m2 + m3 = 0

Solving for variable 'm'.

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

Factor a trinomial.
m((-3 + -1m)(7 + -1m)) = 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 '(-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

Subproblem 3
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
Solution
m = {0, -3, 7}

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