m^3n-15m^2n^2+54mn^3=0

Simple and best practice solution for m^3n-15m^2n^2+54mn^3=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for m^3n-15m^2n^2+54mn^3=0 equation: 


Simplifying
m3n + -15m2n2 + 54mn3 = 0

Reorder the terms:
54mn3 + -15m2n2 + m3n = 0

Solving
54mn3 + -15m2n2 + m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mn'.
mn(54n2 + -15mn + m2) = 0

Factor a trinomial.
mn((6n + -1m)(9n + -1m)) = 0


Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve:

Simplifying
mn = 0

Solving
mn = 0

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

Simplifying
mn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(6n + -1m)' equal to zero and attempt to solve:

Simplifying
6n + -1m = 0

Reorder the terms:
-1m + 6n = 0

Solving
-1m + 6n = 0

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

Add '-6n' to each side of the equation.
-1m + 6n + -6n = 0 + -6n

Combine like terms: 6n + -6n = 0
-1m + 0 = 0 + -6n
-1m = 0 + -6n
Remove the zero:
-1m = -6n

Divide each side by '-1'.
m = 6n

Simplifying
m = 6n

Subproblem 3
Set the factor '(9n + -1m)' equal to zero and attempt to solve:

Simplifying
9n + -1m = 0

Reorder the terms:
-1m + 9n = 0

Solving
-1m + 9n = 0

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

Add '-9n' to each side of the equation.
-1m + 9n + -9n = 0 + -9n

Combine like terms: 9n + -9n = 0
-1m + 0 = 0 + -9n
-1m = 0 + -9n
Remove the zero:
-1m = -9n

Divide each side by '-1'.
m = 9n

Simplifying
m = 9n
Solution
m = {6n, 9n}

See similar equations:

| 8x^3+4x^2-60x= | | 4x-11y-6y+2x+9= | | x-(3+yi)=(5-2i)-7 | | 23-x=4 | | 2z/5=z-3 | | x/7+8=19 | | [2x+2]=-8 | | (7+2n)6=-28n+2 | | [2x+2]=8 | | 2m=6-5 | | r/3-2=7 | | 4x^2+21x+23=0 | | .028x+3=.034x | | t-3+4t=(3t-9) | | 5x+4=8-3x | | p=2(29)+2(53) | | [4x-6]=-7 | | -6a-15=-3(a+7) | | 2-p-2=-p-6+6 | | -6x-4(-x-3)=-6 | | 2(m-21)+4(m-4)=38 | | [4x-6]=7 | | -25x+13=16 | | -5-6(4a+2)=-113 | | 7t+5=4f+6 | | 5/2*(3-y) | | C=115(f-32) | | 129*87=89 | | 6(2n+7)=-28(2n+7)+2 | | 0.50x+.05(8-x)=.10(76) | | (-x^2)+2x=0 | | 7x=7y |

Equations solver categories