16m^4-24m^2n^2+9n^4=0

Simple and best practice solution for 16m^4-24m^2n^2+9n^4=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 16m^4-24m^2n^2+9n^4=0 equation: 


Simplifying
16m4 + -24m2n2 + 9n4 = 0

Reorder the terms:
-24m2n2 + 16m4 + 9n4 = 0

Solving
-24m2n2 + 16m4 + 9n4 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m2 + -3n2)(4m2 + -3n2) = 0


Subproblem 1
Set the factor '(4m2 + -3n2)' equal to zero and attempt to solve:

Simplifying
4m2 + -3n2 = 0

Solving
4m2 + -3n2 = 0

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

Add '3n2' to each side of the equation.
4m2 + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
4m2 + 0 = 0 + 3n2
4m2 = 0 + 3n2
Remove the zero:
4m2 = 3n2

Divide each side by '4'.
m2 = 0.75n2

Simplifying
m2 = 0.75n2

Take the square root of each side:
m = {-0.866025404n, 0.866025404n}

Subproblem 2
Set the factor '(4m2 + -3n2)' equal to zero and attempt to solve:

Simplifying
4m2 + -3n2 = 0

Solving
4m2 + -3n2 = 0

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

Add '3n2' to each side of the equation.
4m2 + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
4m2 + 0 = 0 + 3n2
4m2 = 0 + 3n2
Remove the zero:
4m2 = 3n2

Divide each side by '4'.
m2 = 0.75n2

Simplifying
m2 = 0.75n2

Take the square root of each side:
m = {-0.866025404n, 0.866025404n}
Solution
m = {-0.866025404n, 0.866025404n, -0.866025404n, 0.866025404n}

See similar equations:

| (6x^2)+2x+6=0 | | 15q^3+40q^2+3q+8=0 | | 73x-4=11 | | 4+x=27 | | 108=12x | | 15x^3+25x^2+-60x=0 | | 55x+5=6 | | -3n+6+2n= | | 4.5+x=19.6 | | 16x^4-9y^4=0 | | 3=21-x | | 68=5x+12 | | 123456789012345678901234567890+LeGEndAryQuaNg=987654321098765432109876543210 | | -8z-11=29 | | 5r-8=10x+5 | | 50x=4x^2 | | -7(6x+4y+1)= | | 3a+1=19-5a | | 6x=786 | | 4(3x+2)=3x+5 | | 25m^2+30mn+9n^2=0 | | 8(x-6y)= | | 7r-6=3r+5 | | 5x^3y^2*4xy^4= | | 2y(y+1)=4 | | 6y+2=1-x | | -n^2+2n+3=0 | | x+2+.05x=70 | | 3r-2=8r+10 | | 7637657865783745754734734573734731+QuangLEGeNd=65468663454635436583475662345628526345823652345625823485 | | 3x-2=8r+10 | | 5x+8.46=3x+11 |

Equations solver categories