4m^3-16m^2+100m=0

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Solution for 4m^3-16m^2+100m=0 equation: 


Simplifying
4m3 + -16m2 + 100m = 0

Reorder the terms:
100m + -16m2 + 4m3 = 0

Solving
100m + -16m2 + 4m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m'.
4m(25 + -4m + m2) = 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 '(25 + -4m + m2)' equal to zero and attempt to solve:

Simplifying
25 + -4m + m2 = 0

Solving
25 + -4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -4m + -25 + m2 = 0 + -25

Reorder the terms:
25 + -25 + -4m + m2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4m + m2 = 0 + -25
-4m + m2 = 0 + -25

Combine like terms: 0 + -25 = -25
-4m + m2 = -25

The m term is -4m.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4m + 4 + m2 = -25 + 4

Reorder the terms:
4 + -4m + m2 = -25 + 4

Combine like terms: -25 + 4 = -21
4 + -4m + m2 = -21

Factor a perfect square on the left side:
(m + -2)(m + -2) = -21

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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