8(-3d-15)11d=1-13d

Solution for 8(-3d-15)11d=1-13d equation:

8(-3d-15)11d=1-13d

We move all terms to the left:

8(-3d-15)11d-(1-13d)=0

We add all the numbers together, and all the variables

8(-3d-15)11d-(-13d+1)=0

We multiply parentheses

-264d^2-1320d-(-13d+1)=0

We get rid of parentheses

-264d^2-1320d+13d-1=0

We add all the numbers together, and all the variables

-264d^2-1307d-1=0

a = -264; b = -1307; c = -1;
Δ = b2-4ac
Δ = -13072-4·(-264)·(-1)
Δ = 1707193
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1307)-\sqrt{1707193}}{2*-264}=\frac{1307-\sqrt{1707193}}{-528}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1307)+\sqrt{1707193}}{2*-264}=\frac{1307+\sqrt{1707193}}{-528}
$