34-p(5p-1)=4

Solution for 34-p(5p-1)=4 equation:

34-p(5p-1)=4

We move all terms to the left:

34-p(5p-1)-(4)=0

We add all the numbers together, and all the variables

-p(5p-1)+30=0

We multiply parentheses

-5p^2+1p+30=0

We add all the numbers together, and all the variables

-5p^2+p+30=0

a = -5; b = 1; c = +30;
Δ = b2-4ac
Δ = 12-4·(-5)·30
Δ = 601
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{-(1)-\sqrt{601}}{2*-5}=\frac{-1-\sqrt{601}}{-10}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{601}}{2*-5}=\frac{-1+\sqrt{601}}{-10}
$