p=-2.5p^2+450p

Solution for p=-2.5p^2+450p equation:

p=-2.5p^2+450p

We move all terms to the left:

p-(-2.5p^2+450p)=0

We get rid of parentheses

2.5p^2-450p+p=0

We add all the numbers together, and all the variables

2.5p^2-449p=0

a = 2.5; b = -449; c = 0;
Δ = b2-4ac
Δ = -4492-4·2.5·0
Δ = 201601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{201601}=449$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-449)-449}{2*2.5}=\frac{0}{5}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-449)+449}{2*2.5}=\frac{898}{5}
=179+3/5
$