2/11x=8x+15

Solution for 2/11x=8x+15 equation:

2/11x=8x+15

We move all terms to the left:

2/11x-(8x+15)=0


Domain of the equation: 11x!=0

x!=0/11

x!=0

x∈R


We get rid of parentheses

2/11x-8x-15=0

We multiply all the terms by the denominator


-8x*11x-15*11x+2=0

Wy multiply elements

-88x^2-165x+2=0

a = -88; b = -165; c = +2;
Δ = b2-4ac
Δ = -1652-4·(-88)·2
Δ = 27929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-165)-\sqrt{27929}}{2*-88}=\frac{165-\sqrt{27929}}{-176}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-165)+\sqrt{27929}}{2*-88}=\frac{165+\sqrt{27929}}{-176}
$