13d^2=10-13d

Solution for 13d^2=10-13d equation:

13d^2=10-13d

We move all terms to the left:

13d^2-(10-13d)=0

We add all the numbers together, and all the variables

13d^2-(-13d+10)=0

We get rid of parentheses

13d^2+13d-10=0

a = 13; b = 13; c = -10;
Δ = b2-4ac
Δ = 132-4·13·(-10)
Δ = 689
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{-(13)-\sqrt{689}}{2*13}=\frac{-13-\sqrt{689}}{26}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{689}}{2*13}=\frac{-13+\sqrt{689}}{26}
$