yn=3n(A+Bn)

Simple and best practice solution for yn=3n(A+Bn) 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 yn=3n(A+Bn) equation: 


Simplifying
yn = 3n(A + Bn)
ny = (A * 3n + nB * 3n)
ny = (3nA + 3n2B)

Solving
ny = 3nA + 3n2B

Solving for variable 'n'.

Reorder the terms:
-3nA + ny + -3n2B = 3nA + 3n2B + -3nA + -3n2B

Reorder the terms:
-3nA + ny + -3n2B = 3nA + -3nA + 3n2B + -3n2B

Combine like terms: 3nA + -3nA = 0
-3nA + ny + -3n2B = 0 + 3n2B + -3n2B
-3nA + ny + -3n2B = 3n2B + -3n2B

Combine like terms: 3n2B + -3n2B = 0
-3nA + ny + -3n2B = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3A + y + -3nB) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-3A + y + -3nB)' equal to zero and attempt to solve:

Simplifying
-3A + y + -3nB = 0

Reorder the terms:
-3A + -3nB + y = 0

Solving
-3A + -3nB + y = 0

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

Add '3A' to each side of the equation.
-3A + -3nB + 3A + y = 0 + 3A

Reorder the terms:
-3A + 3A + -3nB + y = 0 + 3A

Combine like terms: -3A + 3A = 0
0 + -3nB + y = 0 + 3A
-3nB + y = 0 + 3A
Remove the zero:
-3nB + y = 3A

Add '-1y' to each side of the equation.
-3nB + y + -1y = 3A + -1y

Combine like terms: y + -1y = 0
-3nB + 0 = 3A + -1y
-3nB = 3A + -1y

Divide each side by '-3B'.
n = -1AB-1 + 0.3333333333yB-1

Simplifying
n = -1AB-1 + 0.3333333333yB-1
Solution
n = {0, -1AB-1 + 0.3333333333yB-1}

See similar equations:

| 8z+25=4z^2 | | 6/13=7/5-y | | 4cos(x)=0 | | (X+xy)fx+(y+xy)d=0 | | (X+xy)fx+(y+xy)during=0 | | 3x-5y=28 | | 2k-3=11 | | 8x+3=4x^2 | | 8x^2+3=4x^2 | | (x-3)*(10x-20)= | | y=x^3-9x^2+15x+3 | | 4y^2-6y-19=0 | | (3n-2)(3n+2)-(2n-3)=3n(n+7)-17 | | 10x+18=-2 | | 5z^2-19z=30 | | 3x=977 | | 3-2m=9+m | | 2x^2+5=205 | | d(4d+1)=20 | | a=((pi^4*r^8=6561)/(pi^2*r^4))^1/2 | | d(8d+1)=40 | | (x-5)(x-1)-(-12)= | | G-6=-5 | | 2(7-2)=x | | -8f=64 | | 25+k=15 | | ln(-5x)+ln(6)=ln(10) | | X^2+4x+12y+16=0 | | y=-4+2x+-1x^2 | | 2-4z=10 | | 8x-17=x-17 | | LogK=31.42 |

Equations solver categories