(9m-3n)(6m+11n)=

Simple and best practice solution for (9m-3n)(6m+11n)= 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 (9m-3n)(6m+11n)= equation: 


Simplifying
(9m + -3n)(6m + 11n) = 0

Multiply (9m + -3n) * (6m + 11n)
(9m * (6m + 11n) + -3n * (6m + 11n)) = 0
((6m * 9m + 11n * 9m) + -3n * (6m + 11n)) = 0

Reorder the terms:
((99mn + 54m2) + -3n * (6m + 11n)) = 0
((99mn + 54m2) + -3n * (6m + 11n)) = 0
(99mn + 54m2 + (6m * -3n + 11n * -3n)) = 0
(99mn + 54m2 + (-18mn + -33n2)) = 0

Reorder the terms:
(99mn + -18mn + 54m2 + -33n2) = 0

Combine like terms: 99mn + -18mn = 81mn
(81mn + 54m2 + -33n2) = 0

Solving
81mn + 54m2 + -33n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(27mn + 18m2 + -11n2) = 0

Factor a trinomial.
3((3m + -1n)(6m + 11n)) = 0

Ignore the factor 3.

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

Simplifying
3m + -1n = 0

Solving
3m + -1n = 0

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

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

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

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

Simplifying
m = 0.3333333333n

Subproblem 2
Set the factor '(6m + 11n)' equal to zero and attempt to solve:

Simplifying
6m + 11n = 0

Solving
6m + 11n = 0

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

Add '-11n' to each side of the equation.
6m + 11n + -11n = 0 + -11n

Combine like terms: 11n + -11n = 0
6m + 0 = 0 + -11n
6m = 0 + -11n
Remove the zero:
6m = -11n

Divide each side by '6'.
m = -1.833333333n

Simplifying
m = -1.833333333n
Solution
m = {0.3333333333n, -1.833333333n}

See similar equations:

| 22x^2-11xy=0 | | 20v+16=-19+7v+18v | | 6x+2(3x-1)= | | 3sinx-5cosx=2 | | 20v+16=19+7v+18v | | 7m+4=7 | | 9n-13=11+19n-12n | | x+1=4-2x | | 2x^2+100x+1687=0 | | 7x-2x-15=9-15 | | 9=3-3x | | 6(2-4x)=-7 | | -30+10=-2x | | 3+9q=7+8q | | -14u-20=-5u+16 | | -3/11x=2 | | b-3=2b-7 | | 1.5(3y-1)+2=5y | | -5-7(1+8z)=-30 | | 6+2n=4n+2 | | -10t=-18-19t | | 4t+48n=100 | | 5(0-4)-9=3-2(0+16) | | 2a+6=a+2 | | 5X-13=15+17x | | 3=7x^2+5 | | (25b-7)-6(4b+4)=-6 | | (5b-1)(3b+2)= | | 14/2=x | | -5-7(1+8z)=30 | | -3d-4+9d=16 | | 4x^12-5x^6-14=0 |

Equations solver categories