6p^2+5p-56=0

Solution for 6p^2+5p-56=0 equation:

6p^2+5p-56=0

a = 6; b = 5; c = -56;
Δ = b2-4ac
Δ = 52-4·6·(-56)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-37}{2*6}=\frac{-42}{12}
=-3+1/2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+37}{2*6}=\frac{32}{12}
=2+2/3
$