(10m-4n)(3m+12n)=

Simple and best practice solution for (10m-4n)(3m+12n)= 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-4n)(3m+12n)= equation: 


Simplifying
(10m + -4n)(3m + 12n) = 0

Multiply (10m + -4n) * (3m + 12n)
(10m * (3m + 12n) + -4n * (3m + 12n)) = 0
((3m * 10m + 12n * 10m) + -4n * (3m + 12n)) = 0

Reorder the terms:
((120mn + 30m2) + -4n * (3m + 12n)) = 0
((120mn + 30m2) + -4n * (3m + 12n)) = 0
(120mn + 30m2 + (3m * -4n + 12n * -4n)) = 0
(120mn + 30m2 + (-12mn + -48n2)) = 0

Reorder the terms:
(120mn + -12mn + 30m2 + -48n2) = 0

Combine like terms: 120mn + -12mn = 108mn
(108mn + 30m2 + -48n2) = 0

Solving
108mn + 30m2 + -48n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6'.
6(18mn + 5m2 + -8n2) = 0

Factor a trinomial.
6((5m + -2n)(m + 4n)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(5m + -2n)' equal to zero and attempt to solve:

Simplifying
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

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

Simplifying
m + 4n = 0

Solving
m + 4n = 0

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

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

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

Simplifying
m = -4n
Solution
m = {0.4n, -4n}

See similar equations:

| (x+5)+2= | | 2x^2-28x+147=0 | | 217=7(3-4n) | | x^2+13x-255=0 | | p(t)=8000(1.02)t | | 104=-2(6x-4) | | 12x^2-1=-c | | 10y^3=270 | | 3b^2-2x-33=0 | | y=3/2x-20 | | -10=2(-5+b) | | 3y-6=6(y+1) | | -9+3n=-6 | | 100+9x=y | | e^3x-8=11^4x/13 | | -27=6x | | Y=1.3333333333x-12 | | -32=-19+x | | p^2+16p-6=16 | | Y=0.75x+12 | | 6tanx=-6 | | 4x^2+8=17 | | [6x-8]+12=7 | | Y*1.666666666666666666666666666666=y+10 | | 3/4t-7=2 | | 0.4x+9.1=7.7 | | d=-64t+16t^2 | | 6y^0/3x^-6 | | 2.5x+2y=225 | | (20+2x)+(30+2x)=1344 | | -9=x/9 | | 3/400x-5 |

Equations solver categories