(x-30)(x-60)=1800

Solution for (x-30)(x-60)=1800 equation:

(x-30)(x-60)=1800

We move all terms to the left:

(x-30)(x-60)-(1800)=0

We multiply parentheses ..

(+x^2-60x-30x+1800)-1800=0

We get rid of parentheses

x^2-60x-30x+1800-1800=0

We add all the numbers together, and all the variables

x^2-90x=0

a = 1; b = -90; c = 0;
Δ = b2-4ac
Δ = -902-4·1·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-90}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+90}{2*1}=\frac{180}{2}
=90
$