2m^3-14m^2+50m=0

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Solution for 2m^3-14m^2+50m=0 equation: 


Simplifying
2m3 + -14m2 + 50m = 0

Reorder the terms:
50m + -14m2 + 2m3 = 0

Solving
50m + -14m2 + 2m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(25 + -7m + m2) = 0

Ignore the factor 2.

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 + -7m + m2)' equal to zero and attempt to solve:

Simplifying
25 + -7m + m2 = 0

Solving
25 + -7m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -7m + -25 + m2 = 0 + -25

Reorder the terms:
25 + -25 + -7m + m2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -7m + m2 = 0 + -25
-7m + m2 = 0 + -25

Combine like terms: 0 + -25 = -25
-7m + m2 = -25

The m term is -7m.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7m + 12.25 + m2 = -25 + 12.25

Reorder the terms:
12.25 + -7m + m2 = -25 + 12.25

Combine like terms: -25 + 12.25 = -12.75
12.25 + -7m + m2 = -12.75

Factor a perfect square on the left side:
(m + -3.5)(m + -3.5) = -12.75

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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