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

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Solution for m(m+4)(m-7)=0 equation: 


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

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

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

Multiply (4 + m) * (-7 + m)
m(4(-7 + m) + m(-7 + m)) = 0
m((-7 * 4 + m * 4) + m(-7 + m)) = 0
m((-28 + 4m) + m(-7 + m)) = 0
m(-28 + 4m + (-7 * m + m * m)) = 0
m(-28 + 4m + (-7m + m2)) = 0

Combine like terms: 4m + -7m = -3m
m(-28 + -3m + m2) = 0
(-28 * m + -3m * m + m2 * m) = 0
(-28m + -3m2 + m3) = 0

Solving
-28m + -3m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-28 + -3m + m2) = 0

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

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4

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, -4, 7}

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