(2m-n)(3m+4n)=

Simple and best practice solution for (2m-n)(3m+4n)= 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 (2m-n)(3m+4n)= equation: 


Simplifying
(2m + -1n)(3m + 4n) = 0

Multiply (2m + -1n) * (3m + 4n)
(2m * (3m + 4n) + -1n * (3m + 4n)) = 0
((3m * 2m + 4n * 2m) + -1n * (3m + 4n)) = 0

Reorder the terms:
((8mn + 6m2) + -1n * (3m + 4n)) = 0
((8mn + 6m2) + -1n * (3m + 4n)) = 0
(8mn + 6m2 + (3m * -1n + 4n * -1n)) = 0
(8mn + 6m2 + (-3mn + -4n2)) = 0

Reorder the terms:
(8mn + -3mn + 6m2 + -4n2) = 0

Combine like terms: 8mn + -3mn = 5mn
(5mn + 6m2 + -4n2) = 0

Solving
5mn + 6m2 + -4n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2m + -1n)(3m + 4n) = 0


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

Simplifying
2m + -1n = 0

Solving
2m + -1n = 0

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

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

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

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

Simplifying
m = 0.5n

Subproblem 2
Set the factor '(3m + 4n)' equal to zero and attempt to solve:

Simplifying
3m + 4n = 0

Solving
3m + 4n = 0

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

Add '-4n' to each side of the equation.
3m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
3m + 0 = 0 + -4n
3m = 0 + -4n
Remove the zero:
3m = -4n

Divide each side by '3'.
m = -1.333333333n

Simplifying
m = -1.333333333n
Solution
m = {0.5n, -1.333333333n}

See similar equations:

| k/4+6=2-6 | | R+8=21 | | 420x=x | | 3*35=7(c+4) | | 8x^3-48x^2+72x= | | 7(7-4x)=ax | | -4-7x=x+12 | | -5+2p=5+p-5 | | -3x+6y=54 | | 16+x=11 | | .6sd=77.7 | | 2x^2+18-14=0 | | a/5-2=0 | | 8/10=n/30 | | Absolutec=3 | | 2x(x^2-3x+6)= | | .6(sxd)=f | | .2(x-15)-(x+5)=20 | | -18=2+4v | | 3a+-6=9*2 | | 7y+15=3y-5 | | x/18+9=8 | | 1-3(x+2)=7+x | | -4x=3/4 | | 8/10=n/20 | | 4(2x+6)+3(3+5x)= | | 3x+7y=28 | | 3x(x+3)=5 | | 16x+24=8(2x+3) | | ax+1=11is(-5) | | 15-y=-6 | | 2(2x+5)=11x-4 |

Equations solver categories