(5p-1)(6p-10)=0

Solution for (5p-1)(6p-10)=0 equation:

(5p-1)(6p-10)=0

We multiply parentheses ..

(+30p^2-50p-6p+10)=0

We get rid of parentheses

30p^2-50p-6p+10=0

We add all the numbers together, and all the variables

30p^2-56p+10=0

a = 30; b = -56; c = +10;
Δ = b2-4ac
Δ = -562-4·30·10
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-44}{2*30}=\frac{12}{60}
=1/5
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+44}{2*30}=\frac{100}{60}
=1+2/3
$