150.55d+335.4d^2-39.846=0

Solution for 150.55d+335.4d^2-39.846=0 equation:

150.55d+335.4d^2-39.846=0

a = 335.4; b = 150.55; c = -39.846;
Δ = b2-4ac
Δ = 150.552-4·335.4·(-39.846)
Δ = 76122.6961
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{-(150.55)-\sqrt{76122.6961}}{2*335.4}=\frac{-150.55-\sqrt{76122.6961}}{670.8}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(150.55)+\sqrt{76122.6961}}{2*335.4}=\frac{-150.55+\sqrt{76122.6961}}{670.8}
$