-13*x+(-7/8x)=-79

Solution for -13*x+(-7/8x)=-79 equation:

-13x+(-7/8x)=-79

We move all terms to the left:

-13x+(-7/8x)-(-79)=0


Domain of the equation: 8x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-13x+(-7/8x)+79=0

We get rid of parentheses

-13x-7/8x+79=0

We multiply all the terms by the denominator


-13x*8x+79*8x-7=0

Wy multiply elements

-104x^2+632x-7=0

a = -104; b = 632; c = -7;
Δ = b2-4ac
Δ = 6322-4·(-104)·(-7)
Δ = 396512
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{396512}=\sqrt{16*24782}=\sqrt{16}*\sqrt{24782}=4\sqrt{24782}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(632)-4\sqrt{24782}}{2*-104}=\frac{-632-4\sqrt{24782}}{-208}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(632)+4\sqrt{24782}}{2*-104}=\frac{-632+4\sqrt{24782}}{-208}
$