30p^2+59p=14

Solution for 30p^2+59p=14 equation:

30p^2+59p=14

We move all terms to the left:

30p^2+59p-(14)=0

a = 30; b = 59; c = -14;
Δ = b2-4ac
Δ = 592-4·30·(-14)
Δ = 5161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(59)-\sqrt{5161}}{2*30}=\frac{-59-\sqrt{5161}}{60}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+\sqrt{5161}}{2*30}=\frac{-59+\sqrt{5161}}{60}
$