((n+6)(n-1))/2=72

Simple and best practice solution for ((n+6)(n-1))/2=72 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+6)(n-1))/2=72 equation: 


n in (-oo:+oo)

((n+6)*(n-1))/2 = 72 // - 72

((n+6)*(n-1))/2-72 = 0

((n+6)*(n-1))/2+(-72*2)/2 = 0

(n+6)*(n-1)-72*2 = 0

n^2+5*n-150 = 0

n^2+5*n-150 = 0

n^2+5*n-150 = 0

DELTA = 5^2-(-150*1*4)

DELTA = 625

DELTA > 0

n = (625^(1/2)-5)/(1*2) or n = (-625^(1/2)-5)/(1*2)

n = 10 or n = -15

(n+15)*(n-10) = 0

((n+15)*(n-10))/2 = 0

((n+15)*(n-10))/2 = 0 // * 2

(n+15)*(n-10) = 0

( n+15 )

n+15 = 0 // - 15

n = -15

( n-10 )

n-10 = 0 // + 10

n = 10

n in { -15, 10 }

See similar equations:

| t-9=11 | | 2t+3=14 | | 0.4x+2=5.6 | | ((n+1)/8)-((2-n)/3)=(5/6) | | ((m-13)/4)-((5m-10)/5)=1 | | ((m-13)/(3))-((5m-15)/(5))=2 | | 224-5x=31x+24 | | ((m-11)/4)-((5m-11)/7)=3 | | ((m+4)/2)-8=2m+10 | | 10y+6x=60 | | ((m+1)/2)-((m-1)/6)=m+3 | | ((h-2)/(2h+4))=2 | | -3x+0.2=3.8 | | -117-9x=10x+17 | | -8+2X=7 | | ((b-4)/6)=b/2 | | ((a+4)/(a-2)-3)=a/4 | | ((9x-15)/5)=6 | | n+5-10=12 | | ((9x-1)/7)+((y+13)/8)=-46 | | ((9x+9)/8)=((2x-3)/4)+5 | | ((9w+8)/(7))=((7w+4)/(6))+3 | | ((9+x)/x)=4x+1 | | 8ln(4x)=32 | | 3/4k=1 | | ((8z+1)/(z-5))=-((3z)/(5-z)) | | 4.6x-0.9=-1.6 | | ((8x-8)/(-7))=4x-12 | | ((8x+8)/(-7))=4x-12 | | -1/9r=45 | | ((8X+64)/4X)-10=0 | | ((8w-7)/4)+(9-3w/2)-1=w-5(2w-3)/2 |

Equations solver categories