8p^2-2=15p

Solution for 8p^2-2=15p equation:

8p^2-2=15p

We move all terms to the left:

8p^2-2-(15p)=0

a = 8; b = -15; c = -2;
Δ = b2-4ac
Δ = -152-4·8·(-2)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-17}{2*8}=\frac{-2}{16}
=-1/8
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+17}{2*8}=\frac{32}{16}
=2
$