18p^2=12-15p

Solution for 18p^2=12-15p equation:

18p^2=12-15p

We move all terms to the left:

18p^2-(12-15p)=0

We add all the numbers together, and all the variables

18p^2-(-15p+12)=0

We get rid of parentheses

18p^2+15p-12=0

a = 18; b = 15; c = -12;
Δ = b2-4ac
Δ = 152-4·18·(-12)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-33}{2*18}=\frac{-48}{36}
=-1+1/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+33}{2*18}=\frac{18}{36}
=1/2
$