(300-100x)(x-2)=0

Solution for (300-100x)(x-2)=0 equation:

(300-100x)(x-2)=0

We add all the numbers together, and all the variables

(-100x+300)(x-2)=0

We multiply parentheses ..

(-100x^2+200x+300x-600)=0

We get rid of parentheses

-100x^2+200x+300x-600=0

We add all the numbers together, and all the variables

-100x^2+500x-600=0

a = -100; b = 500; c = -600;
Δ = b2-4ac
Δ = 5002-4·(-100)·(-600)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(500)-100}{2*-100}=\frac{-600}{-200}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(500)+100}{2*-100}=\frac{-400}{-200}
=+2
$