-24-1/6x=3/8x

Solution for -24-1/6x=3/8x equation:

-24-1/6x=3/8x

We move all terms to the left:

-24-1/6x-(3/8x)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



Domain of the equation: 8x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-1/6x-(+3/8x)-24=0

We get rid of parentheses

-1/6x-3/8x-24=0

We calculate fractions


(-8x)/48x^2+(-18x)/48x^2-24=0

We multiply all the terms by the denominator


(-8x)+(-18x)-24*48x^2=0

Wy multiply elements

-1152x^2+(-8x)+(-18x)=0

We get rid of parentheses

-1152x^2-8x-18x=0

We add all the numbers together, and all the variables

-1152x^2-26x=0

a = -1152; b = -26; c = 0;
Δ = b2-4ac
Δ = -262-4·(-1152)·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-26}{2*-1152}=\frac{0}{-2304}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+26}{2*-1152}=\frac{52}{-2304}
=-13/576
$