5000d^2+15-16=0

Solution for 5000d^2+15-16=0 equation:

5000d^2+15-16=0

We add all the numbers together, and all the variables

5000d^2-1=0

a = 5000; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·5000·(-1)
Δ = 20000
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:

$\sqrt{\Delta}=\sqrt{20000}=\sqrt{10000*2}=\sqrt{10000}*\sqrt{2}=100\sqrt{2}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{2}}{2*5000}=\frac{0-100\sqrt{2}}{10000}
=-\frac{100\sqrt{2}}{10000}
=-\frac{\sqrt{2}}{100}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{2}}{2*5000}=\frac{0+100\sqrt{2}}{10000}
=\frac{100\sqrt{2}}{10000}
=\frac{\sqrt{2}}{100}
$