2p*p+14p+14=0

Solution for 2p*p+14p+14=0 equation:

2p*p+14p+14=0

We add all the numbers together, and all the variables

14p+2p*p+14=0

Wy multiply elements

2p^2+14p+14=0

a = 2; b = 14; c = +14;
Δ = b2-4ac
Δ = 142-4·2·14
Δ = 84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{84}=\sqrt{4*21}=\sqrt{4}*\sqrt{21}=2\sqrt{21}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{21}}{2*2}=\frac{-14-2\sqrt{21}}{4}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{21}}{2*2}=\frac{-14+2\sqrt{21}}{4}
$