1/3x-6=1/8x+4

Simple and best practice solution for 1/3x-6=1/8x+4 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 1/3x-6=1/8x+4 equation:



1/3x-6=1/8x+4
We move all terms to the left:
1/3x-6-(1/8x+4)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 8x+4)!=0
x∈R
We get rid of parentheses
1/3x-1/8x-4-6=0
We calculate fractions
8x/24x^2+(-3x)/24x^2-4-6=0
We add all the numbers together, and all the variables
8x/24x^2+(-3x)/24x^2-10=0
We multiply all the terms by the denominator
8x+(-3x)-10*24x^2=0
Wy multiply elements
-240x^2+8x+(-3x)=0
We get rid of parentheses
-240x^2+8x-3x=0
We add all the numbers together, and all the variables
-240x^2+5x=0
a = -240; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-240)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-240}=\frac{-10}{-480} =1/48 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-240}=\frac{0}{-480} =0 $

See similar equations:

| X^2-52x-164=0 | | 1/2x+4=3/42x-8 | | -2+4x+5x=16 | | .2x+30=x | | 1/3x-6=1/8x-4 | | 2-2v+7=9 | | 56*8=x | | 3(x-2)/4=3(x+4)/10 | | x+(0.015*x)=18000 | | 2x(103-x)=6x-7 | | 3(x+9)=-5+18x´6 | | 240/x=12 | | 3(x+9)=-5+18x/6 | | -3y+4=-2 | | 9x+2=-4+7x+10 | | 3=17-2k | | 56x*7=1568 | | r-87=147 | | Y=9x13 | | 20-(x+10)240=760 | | 2x/6-3x/4=2 | | 4(x−3)=24 | | 2.8+3.2x+1=1.6 | | 2x/7+15000=x | | -5x+2x=3x+6 | | 112+8x+8=180 | | 3r+6+4=38 | | 19c26=4114c | | 46=2w+8 | | -10x+3x=2 | | 80+8x+3=6+19x | | 7=11.2/h |

Equations solver categories