P=60x(x-3)

Solution for P=60x(x-3) equation:

=60P(P-3)

We move all terms to the left:

-(60P(P-3))=0


We calculate terms in parentheses: -(60P(P-3)), so:

60P(P-3)

We multiply parentheses

60P^2-180P

Back to the equation:

-(60P^2-180P)


We get rid of parentheses

-60P^2+180P=0

a = -60; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·(-60)·0
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*-60}=\frac{-360}{-120}
=+3
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*-60}=\frac{0}{-120}
=0
$