(n+8m)(n+3m)-(n+m)(n-4m)=7x

Simple and best practice solution for (n+8m)(n+3m)-(n+m)(n-4m)=7x 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 (n+8m)(n+3m)-(n+m)(n-4m)=7x equation: 


Simplifying
(n + 8m)(n + 3m) + -1(n + m)(n + -4m) = 7x

Reorder the terms:
(8m + n)(n + 3m) + -1(n + m)(n + -4m) = 7x

Reorder the terms:
(8m + n)(3m + n) + -1(n + m)(n + -4m) = 7x

Multiply (8m + n) * (3m + n)
(8m * (3m + n) + n(3m + n)) + -1(n + m)(n + -4m) = 7x
((3m * 8m + n * 8m) + n(3m + n)) + -1(n + m)(n + -4m) = 7x

Reorder the terms:
((8mn + 24m2) + n(3m + n)) + -1(n + m)(n + -4m) = 7x
((8mn + 24m2) + n(3m + n)) + -1(n + m)(n + -4m) = 7x
(8mn + 24m2 + (3m * n + n * n)) + -1(n + m)(n + -4m) = 7x
(8mn + 24m2 + (3mn + n2)) + -1(n + m)(n + -4m) = 7x

Reorder the terms:
(8mn + 3mn + 24m2 + n2) + -1(n + m)(n + -4m) = 7x

Combine like terms: 8mn + 3mn = 11mn
(11mn + 24m2 + n2) + -1(n + m)(n + -4m) = 7x

Reorder the terms:
11mn + 24m2 + n2 + -1(m + n)(n + -4m) = 7x

Reorder the terms:
11mn + 24m2 + n2 + -1(m + n)(-4m + n) = 7x

Multiply (m + n) * (-4m + n)
11mn + 24m2 + n2 + -1(m(-4m + n) + n(-4m + n)) = 7x
11mn + 24m2 + n2 + -1((-4m * m + n * m) + n(-4m + n)) = 7x

Reorder the terms:
11mn + 24m2 + n2 + -1((mn + -4m2) + n(-4m + n)) = 7x
11mn + 24m2 + n2 + -1((mn + -4m2) + n(-4m + n)) = 7x
11mn + 24m2 + n2 + -1(mn + -4m2 + (-4m * n + n * n)) = 7x
11mn + 24m2 + n2 + -1(mn + -4m2 + (-4mn + n2)) = 7x

Reorder the terms:
11mn + 24m2 + n2 + -1(mn + -4mn + -4m2 + n2) = 7x

Combine like terms: mn + -4mn = -3mn
11mn + 24m2 + n2 + -1(-3mn + -4m2 + n2) = 7x
11mn + 24m2 + n2 + (-3mn * -1 + -4m2 * -1 + n2 * -1) = 7x
11mn + 24m2 + n2 + (3mn + 4m2 + -1n2) = 7x

Reorder the terms:
11mn + 3mn + 24m2 + 4m2 + n2 + -1n2 = 7x

Combine like terms: 11mn + 3mn = 14mn
14mn + 24m2 + 4m2 + n2 + -1n2 = 7x

Combine like terms: 24m2 + 4m2 = 28m2
14mn + 28m2 + n2 + -1n2 = 7x

Combine like terms: n2 + -1n2 = 0
14mn + 28m2 + 0 = 7x
14mn + 28m2 = 7x

Solving
14mn + 28m2 = 7x

Solving for variable 'm'.

Combine like terms: 7x + -7x = 0
14mn + 28m2 + -7x = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(2mn + 4m2 + -1x) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(2mn + 4m2 + -1x)' equal to zero and attempt to solve:

Simplifying
2mn + 4m2 + -1x = 0

Solving
2mn + 4m2 + -1x = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

See similar equations:

| 5x-2x+6=x+18 | | 3(4-3c)=c-6 | | 3p+5=2p+15 | | 8*x=72 | | -7(f+1)-6=-41f+55 | | x(x-3)(x+3)=0 | | .4y=9 | | 2z+3(x-5)=130 | | 8y-4=36 | | 2x^3-2x^2+6x-6=0 | | 7x-2=-21 | | c(N)=25+0.15 | | 5x^2-40+20=0 | | 9=2+6.7+.6Y | | 8timesx=72 | | 25+3h=49 | | 2,4(x-0,1)-0,26=2,4x-0,4 | | q(3q+4)=4 | | 15y+8=14 | | 6(3+x)=8(x-20) | | 1.6+.6Y+2=.9 | | 18A=4A+98 | | 5x+2(4-3x)=-7 | | 7(-5)+2(8)=-19 | | 1.6+.6Y+2=.6Y | | 3l+5=4l+2.5 | | (3w+2)*(3w-2)= | | (1+x)+x=1.1 | | 9T+12T=105 | | [y-4]=6 | | x^2+26x-60= | | (3w+2)(3w-2)= |

Equations solver categories