15m^2-22mn-5n^2=0

Simple and best practice solution for 15m^2-22mn-5n^2=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^2-22mn-5n^2=0 equation: 


Simplifying
15m2 + -22mn + -5n2 = 0

Reorder the terms:
-22mn + 15m2 + -5n2 = 0

Solving
-22mn + 15m2 + -5n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m + -5n)(5m + n) = 0


Subproblem 1
Set the factor '(3m + -5n)' equal to zero and attempt to solve:

Simplifying
3m + -5n = 0

Solving
3m + -5n = 0

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

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

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

Divide each side by '3'.
m = 1.666666667n

Simplifying
m = 1.666666667n

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

Simplifying
5m + n = 0

Solving
5m + n = 0

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

Add '-1n' to each side of the equation.
5m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
5m + 0 = 0 + -1n
5m = 0 + -1n
Remove the zero:
5m = -1n

Divide each side by '5'.
m = -0.2n

Simplifying
m = -0.2n
Solution
m = {1.666666667n, -0.2n}

See similar equations:

| 2x+1=149 | | -40z^5+6z^4+4z^3=0 | | 4(w-1)-7=-3(-6w+5)-4w | | v+(v-33.2)+(v+26.3)=188.7 | | -36h^3+120h^2y-100hy^2=0 | | 7u-20=3(u+4) | | 6x=120 | | p^2=-16 | | 4c^2-12cp+9p^2=0 | | -7(y+5)=-9y-21 | | -5w-9=6(w+4) | | 5x+20x-5=20 | | 4-81x^2=o | | x^2-1.4x+.49=0 | | 2-x-18(-6+9)=-20 | | 5x+20-5=20 | | 3(w+2)=5w-2 | | 11-x+(6)=5 | | -19=2(v-8)-5v | | w^4-16=0 | | 7e^3x=9e^2x | | (3a-5)+(4a-3)=90 | | x+3x+13=101 | | 3g+13=101 | | -21=3y+4(y+7) | | 6+8x-9=45 | | x=-6y | | 2r+14=100 | | x-5=8-2y | | 6x^2-3x-46=839 | | 10=7u+4(u-3) | | 6x^2-3x-46=1594 |

Equations solver categories