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

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

| 107+2x=-11x-140 | | 29-8x=5 | | a=6b+2 | | 5x-55=9x+37 | | 16x-24-10x-40=38-4+20x | | -5(x+4)=-10 | | x^2-22x+121=100 | | -11x-16=8-9x | | -12=y+6+17 | | 15n^2-13np-20p^2= | | 3(2x^2+x)-9=0 | | 24+5x=-90+11x | | 49s^2+70+25=0 | | -3(4x+2)=-4-5(1+3x) | | 1.6(4-y)-0.8(2y-3)=0 | | -378=-7(-7x-2) | | 89.1=-8.1t | | 4(y-2)=3(y-10) | | t-(-10)=19 | | t-(-10)=9 | | 10m^2+22m-24= | | 50=-5x-3(-3x-2) | | -3(4x+2)=-4-5(1+4) | | X-3=2+25 | | 2x+3-3(2x-4)=2(5x+3)+9 | | 3x+35=x+31 | | 8m-16=16 | | 6-8x=60-22x | | -7(p+7)+3(p-4)=17 | | 10x-103=4x+65 | | 3(1-4x)-x=-8(x+4) | | 20t^2+72t-32= |

Equations solver categories