(5p+8)(6p+1)=0

Solution for (5p+8)(6p+1)=0 equation:

(5p+8)(6p+1)=0

We multiply parentheses ..

(+30p^2+5p+48p+8)=0

We get rid of parentheses

30p^2+5p+48p+8=0

We add all the numbers together, and all the variables

30p^2+53p+8=0

a = 30; b = 53; c = +8;
Δ = b2-4ac
Δ = 532-4·30·8
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(53)-43}{2*30}=\frac{-96}{60}
=-1+3/5
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(53)+43}{2*30}=\frac{-10}{60}
=-1/6
$