18p^2=15-21p

Solution for 18p^2=15-21p equation:

18p^2=15-21p

We move all terms to the left:

18p^2-(15-21p)=0

We add all the numbers together, and all the variables

18p^2-(-21p+15)=0

We get rid of parentheses

18p^2+21p-15=0

a = 18; b = 21; c = -15;
Δ = b2-4ac
Δ = 212-4·18·(-15)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-39}{2*18}=\frac{-60}{36}
=-1+2/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+39}{2*18}=\frac{18}{36}
=1/2
$