X/8x-6x-25=-35

Solution for X/8x-6x-25=-35 equation:

X/8X-6X-25=-35

We move all terms to the left:

X/8X-6X-25-(-35)=0


Domain of the equation: 8X!=0

X!=0/8

X!=0

X∈R


We add all the numbers together, and all the variables

-6X+X/8X+10=0

We multiply all the terms by the denominator


-6X*8X+X+10*8X=0

We add all the numbers together, and all the variables

X-6X*8X+10*8X=0

Wy multiply elements

-48X^2+X+80X=0

We add all the numbers together, and all the variables

-48X^2+81X=0

a = -48; b = 81; c = 0;
Δ = b2-4ac
Δ = 812-4·(-48)·0
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(81)-81}{2*-48}=\frac{-162}{-96}
=1+11/16
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(81)+81}{2*-48}=\frac{0}{-96}
=0
$