4p2+3p-2=50

Solution for 4p2+3p-2=50 equation:

4p^2+3p-2=50

We move all terms to the left:

4p^2+3p-2-(50)=0

We add all the numbers together, and all the variables

4p^2+3p-52=0

a = 4; b = 3; c = -52;
Δ = b2-4ac
Δ = 32-4·4·(-52)
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-29}{2*4}=\frac{-32}{8}
=-4
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+29}{2*4}=\frac{26}{8}
=3+1/4
$