24p^2=176p=-280

Solution for 24p^2=176p=-280 equation:

24p^2=176p=-280

We move all terms to the left:

24p^2-(176p)=0

a = 24; b = -176; c = 0;
Δ = b2-4ac
Δ = -1762-4·24·0
Δ = 30976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30976}=176$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-176)-176}{2*24}=\frac{0}{48}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-176)+176}{2*24}=\frac{352}{48}
=7+1/3
$