7(p*p)-2p-300=0

Solution for 7(p*p)-2p-300=0 equation:

7(p*p)-2p-300=0

We add all the numbers together, and all the variables

7(+p*p)-2p-300=0

We add all the numbers together, and all the variables

-2p+7(+p*p)-300=0

We multiply parentheses

7p^2-2p-300=0

a = 7; b = -2; c = -300;
Δ = b2-4ac
Δ = -22-4·7·(-300)
Δ = 8404
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:

$\sqrt{\Delta}=\sqrt{8404}=\sqrt{4*2101}=\sqrt{4}*\sqrt{2101}=2\sqrt{2101}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{2101}}{2*7}=\frac{2-2\sqrt{2101}}{14}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{2101}}{2*7}=\frac{2+2\sqrt{2101}}{14}
$