17-3x=-(12-5/8x)

Solution for 17-3x=-(12-5/8x) equation:

17-3x=-(12-5/8x)

We move all terms to the left:

17-3x-(-(12-5/8x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-3x-(-(-5/8x+12))+17=0

We multiply all the terms by the denominator


-3x*8x+17*8x-5+12))-(-(+12))=0

We add all the numbers together, and all the variables

-3x*8x+17*8x-5+12))-(-12)=0

We add all the numbers together, and all the variables

-3x*8x+17*8x=0

Wy multiply elements

-24x^2+136x=0

a = -24; b = 136; c = 0;
Δ = b2-4ac
Δ = 1362-4·(-24)·0
Δ = 18496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18496}=136$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(136)-136}{2*-24}=\frac{-272}{-48}
=5+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(136)+136}{2*-24}=\frac{0}{-48}
=0
$