(3p*3p)+10p-8=0

Solution for (3p*3p)+10p-8=0 equation:

(3p*3p)+10p-8=0

We add all the numbers together, and all the variables

(+3p*3p)+10p-8=0

We add all the numbers together, and all the variables

10p+(+3p*3p)-8=0

We get rid of parentheses

10p+3p*3p-8=0

Wy multiply elements

9p^2+10p-8=0

a = 9; b = 10; c = -8;
Δ = b2-4ac
Δ = 102-4·9·(-8)
Δ = 388
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:

$\sqrt{\Delta}=\sqrt{388}=\sqrt{4*97}=\sqrt{4}*\sqrt{97}=2\sqrt{97}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{97}}{2*9}=\frac{-10-2\sqrt{97}}{18}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{97}}{2*9}=\frac{-10+2\sqrt{97}}{18}
$