11/24x-3/8x+13/24=5/3

Solution for 11/24x-3/8x+13/24=5/3 equation:

11/24x-3/8x+13/24=5/3

We move all terms to the left:

11/24x-3/8x+13/24-(5/3)=0


Domain of the equation: 24x!=0

x!=0/24

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

11/24x-3/8x+13/24-(+5/3)=0

We get rid of parentheses

11/24x-3/8x+13/24-5/3=0

We calculate fractions


(-184320x^2)/27648x^2+792x/27648x^2+(-10368x)/27648x^2+936x/27648x^2=0

We multiply all the terms by the denominator


(-184320x^2)+792x+(-10368x)+936x=0

We add all the numbers together, and all the variables

(-184320x^2)+1728x+(-10368x)=0

We get rid of parentheses

-184320x^2+1728x-10368x=0

We add all the numbers together, and all the variables

-184320x^2-8640x=0

a = -184320; b = -8640; c = 0;
Δ = b2-4ac
Δ = -86402-4·(-184320)·0
Δ = 74649600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{74649600}=8640$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8640)-8640}{2*-184320}=\frac{0}{-368640}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8640)+8640}{2*-184320}=\frac{17280}{-368640}
=-3/64
$