(3m-3n)(3m+4n)=0

Simple and best practice solution for (3m-3n)(3m+4n)=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 (3m-3n)(3m+4n)=0 equation: 


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

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

Reorder the terms:
((12mn + 9m2) + -3n * (3m + 4n)) = 0
((12mn + 9m2) + -3n * (3m + 4n)) = 0
(12mn + 9m2 + (3m * -3n + 4n * -3n)) = 0
(12mn + 9m2 + (-9mn + -12n2)) = 0

Reorder the terms:
(12mn + -9mn + 9m2 + -12n2) = 0

Combine like terms: 12mn + -9mn = 3mn
(3mn + 9m2 + -12n2) = 0

Solving
3mn + 9m2 + -12n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(mn + 3m2 + -4n2) = 0

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

Ignore the factor 3.

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

Simplifying
m + -1n = 0

Solving
m + -1n = 0

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

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

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

Simplifying
m = n

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 = {n, -1.333333333n}

See similar equations:

| 9(4x^2+4x+4)=4(x^2-10x+25) | | sin(4x)=0.25 | | X^2+12x-153=0 | | X^2+2x-153=0 | | 12x=2x-10 | | z^2+2iz+4-4i=0 | | 1.2x=30 | | 2x+(2x*.28)=890 | | 2x^2+19x+24=x | | 12x-24=-60 | | G=2.25(p-29) | | G=2.25(p-29) | | 28=x^2+3 | | x^2-14x+174=0 | | 10(z+2)-2(z-4)=3(z-4)+4(z-3) | | -4n+15-10n+9=n-46 | | 0=-14r | | 40=10t | | x-16=-34 | | -6a+a+28= | | -5s+8-4s=-10+4 | | -13b-17b+3b= | | 5x^2-5x+5y^2+0y-4=0 | | 225y-256=0 | | -115=5.01x+4.905x^2 | | 63+7x=5-13x | | -25th+21t-7t= | | 8x-3=12x-5 | | -12b-1+13b-7=0 | | 0.13y+0.08(y+5000)=2290 | | 7=1-6v | | X-4+4x+3=3x+4+2x-5 |

Equations solver categories