1/6x-1/8x=1/72

Solution for 1/6x-1/8x=1/72 equation:

1/6x-1/8x=1/72

We move all terms to the left:

1/6x-1/8x-(1/72)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

1/6x-1/8x-(+1/72)=0

We get rid of parentheses

1/6x-1/8x-1/72=0

We calculate fractions


(-384x^2)/24192x^2+4032x/24192x^2+(-3024x)/24192x^2=0

We multiply all the terms by the denominator


(-384x^2)+4032x+(-3024x)=0

We get rid of parentheses

-384x^2+4032x-3024x=0

We add all the numbers together, and all the variables

-384x^2+1008x=0

a = -384; b = 1008; c = 0;
Δ = b2-4ac
Δ = 10082-4·(-384)·0
Δ = 1016064
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1016064}=1008$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1008)-1008}{2*-384}=\frac{-2016}{-768}
=2+5/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1008)+1008}{2*-384}=\frac{0}{-768}
=0
$