16d^2-78=-53

Solution for 16d^2-78=-53 equation:

16d^2-78=-53

We move all terms to the left:

16d^2-78-(-53)=0

We add all the numbers together, and all the variables

16d^2-25=0

a = 16; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·16·(-25)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*16}=\frac{-40}{32}
=-1+1/4
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*16}=\frac{40}{32}
=1+1/4
$