-229/168-9/7x=5/8x-2

Solution for -229/168-9/7x=5/8x-2 equation:

-229/168-9/7x=5/8x-2

We move all terms to the left:

-229/168-9/7x-(5/8x-2)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R



Domain of the equation: 8x-2)!=0

x∈R


We get rid of parentheses

-9/7x-5/8x+2-229/168=0

We calculate fractions


(-102592x^2)/9408x^2+(-12096x)/9408x^2+(-5880x)/9408x^2+2=0

We multiply all the terms by the denominator


(-102592x^2)+(-12096x)+(-5880x)+2*9408x^2=0

Wy multiply elements

(-102592x^2)+18816x^2+(-12096x)+(-5880x)=0

We get rid of parentheses

-102592x^2+18816x^2-12096x-5880x=0

We add all the numbers together, and all the variables

-83776x^2-17976x=0

a = -83776; b = -17976; c = 0;
Δ = b2-4ac
Δ = -179762-4·(-83776)·0
Δ = 323136576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{323136576}=17976$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17976)-17976}{2*-83776}=\frac{0}{-167552}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17976)+17976}{2*-83776}=\frac{35952}{-167552}
=-321/1496
$