2m^2n^2+6mn^2=16n^2

Simple and best practice solution for 2m^2n^2+6mn^2=16n^2 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 2m^2n^2+6mn^2=16n^2 equation: 


Simplifying
2m2n2 + 6mn2 = 16n2

Reorder the terms:
6mn2 + 2m2n2 = 16n2

Solving
6mn2 + 2m2n2 = 16n2

Solving for variable 'm'.

Combine like terms: 16n2 + -16n2 = 0
6mn2 + 2m2n2 + -16n2 = 0

Factor out the Greatest Common Factor (GCF), '2n2'.
2n2(3m + m2 + -8) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Add '-1n2' to each side of the equation.
n2 + -1n2 = 0 + -1n2
Remove the zero:
0 = -1n2

Simplifying
0 = -1n2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3m + m2 + -8)' equal to zero and attempt to solve:

Simplifying
3m + m2 + -8 = 0

Reorder the terms:
-8 + 3m + m2 = 0

Solving
-8 + 3m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 3m + 8 + m2 = 0 + 8

Reorder the terms:
-8 + 8 + 3m + m2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3m + m2 = 0 + 8
3m + m2 = 0 + 8

Combine like terms: 0 + 8 = 8
3m + m2 = 8

The m term is 3m.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3m + 2.25 + m2 = 8 + 2.25

Reorder the terms:
2.25 + 3m + m2 = 8 + 2.25

Combine like terms: 8 + 2.25 = 10.25
2.25 + 3m + m2 = 10.25

Factor a perfect square on the left side:
(m + 1.5)(m + 1.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(m + 1.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
m + 1.5 = 3.201562119

Simplifying
m + 1.5 = 3.201562119

Reorder the terms:
1.5 + m = 3.201562119

Solving
1.5 + m = 3.201562119

Solving for variable 'm'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + m = 3.201562119 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + m = 3.201562119 + -1.5
m = 3.201562119 + -1.5

Combine like terms: 3.201562119 + -1.5 = 1.701562119
m = 1.701562119

Simplifying
m = 1.701562119


Subproblem 2
m + 1.5 = -3.201562119

Simplifying
m + 1.5 = -3.201562119

Reorder the terms:
1.5 + m = -3.201562119

Solving
1.5 + m = -3.201562119

Solving for variable 'm'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + m = -3.201562119 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + m = -3.201562119 + -1.5
m = -3.201562119 + -1.5

Combine like terms: -3.201562119 + -1.5 = -4.701562119
m = -4.701562119

Simplifying
m = -4.701562119


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {1.701562119, -4.701562119}
Solution
m = {1.701562119, -4.701562119}

See similar equations:

| 5x-5(-10)=25 | | x+11=-3x-5 | | 3200+4000x=10000 | | 12a=34a+15 | | 4x^4+x^3-4x-1-6x^4-3x^2+3x^3= | | Y=1x+7 | | -n^2+5n-3=5 | | (2x+1)=(3y+5) | | [2x-5]=19 | | cosine(x)=4x | | Y=-1x-5 | | M^3-16=0 | | 2.5x-5=10.625 | | (0-24)=0 | | 10-m=5 | | 180=50t | | (0-24)(0+7)= | | 4(-1.8333333333)+9=-8(-1.8333333333)-13 | | 60=50t | | 66=2(3w-4)+2(w+1) | | 60=50(1) | | 2y=6x+2x+18 | | c^2-8c= | | X*(0.2)+X=Z | | 6(y-3)+10=2(3x-4) | | 4(-1.83)+9=-8(-1.83)-13 | | X*(0.2)X=Z | | 2(5)-4(5)= | | k/3-5=20 | | 5(-1+2)=-3(7(-1)+2) | | 4(6)+4(-2)= | | r^3-5r^2+8r-40= |

Equations solver categories