68*35*d=30940

Solution for 68*35*d=30940 equation:

68*35*d=30940

We move all terms to the left:

68*35*d-(30940)=0

Wy multiply elements

2380d*d-30940=0

Wy multiply elements

2380d^2-30940=0

a = 2380; b = 0; c = -30940;
Δ = b2-4ac
Δ = 02-4·2380·(-30940)
Δ = 294548800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{294548800}=\sqrt{22657600*13}=\sqrt{22657600}*\sqrt{13}=4760\sqrt{13}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4760\sqrt{13}}{2*2380}=\frac{0-4760\sqrt{13}}{4760}
=-\frac{4760\sqrt{13}}{4760}
=-\sqrt{13}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4760\sqrt{13}}{2*2380}=\frac{0+4760\sqrt{13}}{4760}
=\frac{4760\sqrt{13}}{4760}
=\sqrt{13}
$