3m^3-9m^2+48m=

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Solution for 3m^3-9m^2+48m= equation: 


Simplifying
3m3 + -9m2 + 48m = 0

Reorder the terms:
48m + -9m2 + 3m3 = 0

Solving
48m + -9m2 + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(16 + -3m + m2) = 0

Ignore the factor 3.

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 '(16 + -3m + m2)' equal to zero and attempt to solve:

Simplifying
16 + -3m + m2 = 0

Solving
16 + -3m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -3m + -16 + m2 = 0 + -16

Reorder the terms:
16 + -16 + -3m + m2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3m + m2 = 0 + -16
-3m + m2 = 0 + -16

Combine like terms: 0 + -16 = -16
-3m + m2 = -16

The m term is -3m.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3m + 2.25 + m2 = -16 + 2.25

Reorder the terms:
2.25 + -3m + m2 = -16 + 2.25

Combine like terms: -16 + 2.25 = -13.75
2.25 + -3m + m2 = -13.75

Factor a perfect square on the left side:
(m + -1.5)(m + -1.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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