10m^6n+9m^5n^2+2m^4n^3=0

Simple and best practice solution for 10m^6n+9m^5n^2+2m^4n^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 10m^6n+9m^5n^2+2m^4n^3=0 equation: 


Simplifying
10m6n + 9m5n2 + 2m4n3 = 0

Reorder the terms:
2m4n3 + 9m5n2 + 10m6n = 0

Solving
2m4n3 + 9m5n2 + 10m6n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm4n'.
m4n(2n2 + 9mn + 10m2) = 0

Factor a trinomial.
m4n((n + 2m)(2n + 5m)) = 0


Subproblem 1
Set the factor 'm4n' equal to zero and attempt to solve:

Simplifying
m4n = 0

Solving
m4n = 0

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

Simplifying
m4n = 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 '(n + 2m)' equal to zero and attempt to solve:

Simplifying
n + 2m = 0

Reorder the terms:
2m + n = 0

Solving
2m + n = 0

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

Add '-1n' to each side of the equation.
2m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
2m + 0 = 0 + -1n
2m = 0 + -1n
Remove the zero:
2m = -1n

Divide each side by '2'.
m = -0.5n

Simplifying
m = -0.5n

Subproblem 3
Set the factor '(2n + 5m)' equal to zero and attempt to solve:

Simplifying
2n + 5m = 0

Reorder the terms:
5m + 2n = 0

Solving
5m + 2n = 0

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

Add '-2n' to each side of the equation.
5m + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
5m + 0 = 0 + -2n
5m = 0 + -2n
Remove the zero:
5m = -2n

Divide each side by '5'.
m = -0.4n

Simplifying
m = -0.4n
Solution
m = {-0.5n, -0.4n}

See similar equations:

| 5y^2-8y-2=0 | | 7y^2-16y-20=0 | | x+5-8yi=31 | | 7X+1-3X=0 | | (5x-20)=((12)+(4x-10))*.5 | | -6X+30=0 | | 9y+1=-6y-4 | | x+(x+1)+(x+1)=36 | | 8k+33=1 | | 4p+6=2p-2 | | (3x-8)*(3x-5)= | | 7n-5=5n+7 | | f(-5)=-5*-5+4 | | 7y+9=12y+9 | | .33(5x+9)=10 | | -1.2g=6.9 | | 0.85x+.05(10-x)=.10(133) | | g(x)=-5x+6 | | 4x-8y=-56 | | 2.5+2=-3.5 | | f=kg | | (m-2)3=-1 | | x^3-3xy^2+2a^3=0 | | 6(4n+4)=8(3+2n) | | 65+n=67 | | 54-7=12 | | 4x+9=-12 | | x+(x+6)=50 | | 8x+2y-3y-9x= | | .8x+2y-3y-9x= | | 1-64x^2= | | 15.75-(-3.85)+(2.54)=17.06 |

Equations solver categories