Loading web-font TeX/Math/Italic

7/8n-7=8+1/2n

Simple and best practice solution for 7/8n-7=8+1/2n 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 7/8n-7=8+1/2n equation:



7/8n-7=8+1/2n
We move all terms to the left:
7/8n-7-(8+1/2n)=0
Domain of the equation: 8n!=0
n!=0/8
n!=0
n∈R
Domain of the equation: 2n)!=0
n!=0/1
n!=0
n∈R
We add all the numbers together, and all the variables
7/8n-(1/2n+8)-7=0
We get rid of parentheses
7/8n-1/2n-8-7=0
We calculate fractions
14n/16n^2+(-8n)/16n^2-8-7=0
We add all the numbers together, and all the variables
14n/16n^2+(-8n)/16n^2-15=0
We multiply all the terms by the denominator
14n+(-8n)-15*16n^2=0
Wy multiply elements
-240n^2+14n+(-8n)=0
We get rid of parentheses
-240n^2+14n-8n=0
We add all the numbers together, and all the variables
-240n^2+6n=0
a = -240; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-240)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
n_{1}=\frac{-b-\sqrt{\Delta}}{2a}
n_{2}=\frac{-b+\sqrt{\Delta}}{2a}

\sqrt{\Delta}=\sqrt{36}=6
n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-240}=\frac{-12}{-480} =1/40
n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-240}=\frac{0}{-480} =0

See similar equations:

| -3(x+2)=4x-6-x | | -13+2=-52+23x | |  8x+7=10x#x2212;1role=presentationdata-lrn-mathjax-postprocessed=truestyle=outline/none;margin/0px;padding/0px;overflow-wrap/normal;box-sizing/border-box;-webkit-tap-highlight-color/transparent;display/inline;font-style/normal;font-weight/400;line-height/ | | .4(2r-1)=-2(3r+16) | | 16+y/4=17 | | 5n+14=14 | | -475x+4450=2000 | | n-(-12)=-7 | | 180=(3x+17) | | k^2-2k+42=0 | | 5x-2(6x-5)=-39 | | 7/x=42 | | |3x|=14.1 | | 7/8/n-7=8+1/2/n | | 3850+1250=x | | −2x​ +2=12 | | 7x+19=31 | | 18=a×1 | | 540=18(n-2) | | 5(3x-3)=2(x+6) | | 4x−12=−2x+12 | | 3=n+4/2 | | 2/4x-1/2=7 | | r-2r=-r | | 28b=840 | | r+6+r+3+r+9=r+4+r+1+r+1+r+4 | | 540=18()n-2 | | -4(3x+3)=-12x-12 | | -10=-b-4 | | 5x+-x=-24 | | 20+58.45x=60.95x | | -5x+2(x+2)=10 |

Equations solver categories