20m^4+24m^2n^2-9n^4=0

Simple and best practice solution for 20m^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 20m^4+24m^2n^2-9n^4=0 equation: 


Simplifying
20m4 + 24m2n2 + -9n4 = 0

Reorder the terms:
24m2n2 + 20m4 + -9n4 = 0

Solving
24m2n2 + 20m4 + -9n4 = 0

Solving for variable 'm'.

Factor a trinomial.
(10m2 + -3n2)(2m2 + 3n2) = 0


Subproblem 1
Set the factor '(10m2 + -3n2)' equal to zero and attempt to solve:

Simplifying
10m2 + -3n2 = 0

Solving
10m2 + -3n2 = 0

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

Add '3n2' to each side of the equation.
10m2 + -3n2 + 3n2 = 0 + 3n2

Combine like terms: -3n2 + 3n2 = 0
10m2 + 0 = 0 + 3n2
10m2 = 0 + 3n2
Remove the zero:
10m2 = 3n2

Divide each side by '10'.
m2 = 0.3n2

Simplifying
m2 = 0.3n2

Take the square root of each side:
m = {-0.547722558n, 0.547722558n}

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

Simplifying
2m2 + 3n2 = 0

Solving
2m2 + 3n2 = 0

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

Add '-3n2' to each side of the equation.
2m2 + 3n2 + -3n2 = 0 + -3n2

Combine like terms: 3n2 + -3n2 = 0
2m2 + 0 = 0 + -3n2
2m2 = 0 + -3n2
Remove the zero:
2m2 = -3n2

Divide each side by '2'.
m2 = -1.5n2

Simplifying
m2 = -1.5n2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {-0.547722558n, 0.547722558n}

See similar equations:

| c+8d=8 | | 11y+9=33 | | (5r-4s)-(2r+3s)= | | 10x-5+20-5x=-25 | | 2(3x+1)+6=4(x+3) | | v^2-20v+101=10 | | 15y-48+90=75y-40 | | 61-7x=20x+22 | | 5-2(x-7)=-17 | | n-8=7n | | (2a-3b)-(a-b)=(2a+a)-(3b+b) | | (2x-4)(x+20)=0 | | 2x-40=10 | | 11c-2d=-2 | | 325.00+6.44x=500 | | 6a^2=-9a-3 | | 4x+1=4x | | 40x-250=450 | | 2x^2=60 | | 3-2(x--9)=-27 | | 2p^2+15=-11p | | 0=4x^3-6x+2 | | 6x+15-4x+15=2 | | 12-10sinx=0 | | 5x-3=0.4 | | -18+14=-2(x+6) | | 3+2(x+5)=-13 | | 3*cos(x)-1*sin(x)=0 | | 3cos(x)-1sin(x)=0 | | uz+up=x | | 3cosx-sinx=0 | | -12+39=3(x+1) |

Equations solver categories