306=n/2*(2*9+3n*3)

Simple and best practice solution for 306=n/2*(2*9+3n*3) 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 306=n/2*(2*9+3n*3) equation: 


n in (-oo:+oo)

306 = (n/2)*(3*3*n+2*9) // - (n/2)*(3*3*n+2*9)

306-((n/2)*(3*3*n+2*9)) = 0

306-1*1/2*n*(9*n+18) = 0

306-1*1/2*n*(9*n+18) = 0

306-9/2*n^2-9*n = 0

306-9/2*n^2-9*n = 0

9*(34-1/2*n^2-n) = 0

34-1/2*n^2-n = 0

DELTA = (-1)^2-(-1/2*4*34)

DELTA = 69

DELTA > 0

n = (69^(1/2)+1)/(-1/2*2) or n = (1-69^(1/2))/(-1/2*2)

n = -(69^(1/2)+1) or n = 69^(1/2)-1

9*(n+69^(1/2)+1)*(n-69^(1/2)+1) = 0

9*(n+69^(1/2)+1)*(n-69^(1/2)+1) = 0

( n+69^(1/2)+1 )

n+69^(1/2)+1 = 0 // - 69^(1/2)+1

n = -(69^(1/2)+1)

( n-69^(1/2)+1 )

n-69^(1/2)+1 = 0 // - 1-69^(1/2)

n = -(1-69^(1/2))

n = 69^(1/2)-1

n in { -(69^(1/2)+1), 69^(1/2)-1 }

See similar equations:

| -3x^2+16x+12=0 | | 2x^2-28x+9=0 | | -6+2x=-14 | | 4.5+x-44.5= | | 2x+3(2x)=12 | | -6x+6=56+4x | | 10.45+x-5-15= | | 4+2(s-5t)= | | x+10=-14 | | 4(3-x)=4/2 | | 5p^2-11p-2=0 | | 2y=1y+3 | | X/7+x/6=9/7 | | 4(2x-5)-3(5x+x)=0 | | 306=n/2(2*9+3n*3) | | 12k+42=10k-2k-14 | | -7x+8=20-6x | | 3x+8=2x+3 | | 5/6k^2-k-12/5=0 | | 80=(x-8)(x+8) | | 4w=3w+55 | | -19x+2x=27+4x | | 4=-5w+3(w+4) | | -4x-1=-13 | | -3x-2=3x-26 | | -6y+3y=9 | | -7p^2-29p-4=0 | | 8x^2-7=193 | | -6p^2-23p-15=0 | | 1x-y=-5 | | 2+4x=6x+18 | | 0.5^(x/4.5) |

Equations solver categories