m^2x^2-8mnx+7n^2=0

Simple and best practice solution for m^2x^2-8mnx+7n^2=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 m^2x^2-8mnx+7n^2=0 equation: 


Simplifying
m2x2 + -8mnx + 7n2 = 0

Reorder the terms:
-8mnx + m2x2 + 7n2 = 0

Solving
-8mnx + m2x2 + 7n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(mx + -7n)(mx + -1n) = 0


Subproblem 1
Set the factor '(mx + -7n)' equal to zero and attempt to solve:

Simplifying
mx + -7n = 0

Solving
mx + -7n = 0

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

Add '7n' to each side of the equation.
mx + -7n + 7n = 0 + 7n

Combine like terms: -7n + 7n = 0
mx + 0 = 0 + 7n
mx = 0 + 7n
Remove the zero:
mx = 7n

Divide each side by 'x'.
m = 7nx-1

Simplifying
m = 7nx-1

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

Simplifying
mx + -1n = 0

Solving
mx + -1n = 0

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

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

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

Divide each side by 'x'.
m = nx-1

Simplifying
m = nx-1
Solution
m = {7nx-1, nx-1}

See similar equations:

| 12(36-2x)=144 | | x+10x=-21 | | x^2+2xy-y^2+8=0 | | 2(3s+9)=30 | | -6=8+2u | | -16x^2+40x+80=104.6 | | 4y-x=5+q | | -2h-17=19 | | 4(2l+5)=108 | | y=2500x-2500 | | 2x^2-5=5 | | .33(y+8)+8=.66(9y-24)-4 | | 10x+3=68 | | 18y+2=14 | | -7(6n+5)=-18 | | 40x=-40 | | 40x=-49 | | -(6x-2)-(5x-7)+5=-6(x-5)-(7x+4)+4 | | (6y-16)(4y+6)y= | | -2(m-4)+8m=38 | | 4X+12=-24-2X | | 1-8m=-2m+13 | | 3y-5=-20 | | 3k+1= | | 7(x-9)=3 | | 10X-77=6X-9 | | 3x+(x+40)+(2x+20)=180 | | 5x-10=7x-5 | | 12y+8=12 | | 7x=2(x+120) | | 7x-4w+4y+2w+4x+6y= | | -16x^2+40t=80 |

Equations solver categories