450=375x-75x^2

Solution for 450=375x-75x^2 equation:

450=375x-75x^2

We move all terms to the left:

450-(375x-75x^2)=0

We get rid of parentheses

75x^2-375x+450=0

a = 75; b = -375; c = +450;
Δ = b2-4ac
Δ = -3752-4·75·450
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-375)-75}{2*75}=\frac{300}{150}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-375)+75}{2*75}=\frac{450}{150}
=3
$