15m^6n+14m^5n^2+3m^4n^3=0

Simple and best practice solution for 15m^6n+14m^5n^2+3m^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 15m^6n+14m^5n^2+3m^4n^3=0 equation: 


Simplifying
15m6n + 14m5n2 + 3m4n3 = 0

Reorder the terms:
3m4n3 + 14m5n2 + 15m6n = 0

Solving
3m4n3 + 14m5n2 + 15m6n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm4n'.
m4n(3n2 + 14mn + 15m2) = 0

Factor a trinomial.
m4n((3n + 5m)(n + 3m)) = 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 '(3n + 5m)' equal to zero and attempt to solve:

Simplifying
3n + 5m = 0

Reorder the terms:
5m + 3n = 0

Solving
5m + 3n = 0

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

Add '-3n' to each side of the equation.
5m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
5m + 0 = 0 + -3n
5m = 0 + -3n
Remove the zero:
5m = -3n

Divide each side by '5'.
m = -0.6n

Simplifying
m = -0.6n

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

Simplifying
n + 3m = 0

Reorder the terms:
3m + n = 0

Solving
3m + n = 0

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

Add '-1n' to each side of the equation.
3m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
3m + 0 = 0 + -1n
3m = 0 + -1n
Remove the zero:
3m = -1n

Divide each side by '3'.
m = -0.3333333333n

Simplifying
m = -0.3333333333n
Solution
m = {-0.6n, -0.3333333333n}

See similar equations:

| 3(1-2x)=4-7x | | x+109+x+89=180 | | -.72727272x=48 | | 6x-3(5x-10)=3 | | 25s^2+80=-64 | | 18=.8x | | X-6.7x+3.6=2(x-5.9) | | 9x=26-4x | | 6y=30 | | 67-2x=7x+24 | | (3x-2)(2x+7)=0 | | x^3+2x^2-25x-55=0 | | 20x+5+24x-1=180 | | -120-8x=10x+24 | | 3x+4(2x-1)=0 | | 3x+5y+-7z-8= | | 5x+14=-51-8x | | 9n+19=-26 | | 4+x=12-7 | | 25+9n+5n-19=23n+10-9n-4 | | 25+9n+5n-19=23+10-9n-4 | | 16+x=12 | | 72x^5+78x^4-330x^3=0 | | P(x)=x^3+2x^2-5x+6 | | 3x-2y=5x+4y+15 | | 8x+2y=165 | | 10+9x=82+2x | | 2x+22=9x-34 | | 2x^2=7+13x | | 8x-10=5x+1 | | x^2-5x=-4x | | x^3+64x=0 |

Equations solver categories