(X+30)(x-16)=2100

Solution for (X+30)(x-16)=2100 equation:

(X+30)(X-16)=2100

We move all terms to the left:

(X+30)(X-16)-(2100)=0

We multiply parentheses ..

(+X^2-16X+30X-480)-2100=0

We get rid of parentheses

X^2-16X+30X-480-2100=0

We add all the numbers together, and all the variables

X^2+14X-2580=0

a = 1; b = 14; c = -2580;
Δ = b2-4ac
Δ = 142-4·1·(-2580)
Δ = 10516
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10516}=\sqrt{4*2629}=\sqrt{4}*\sqrt{2629}=2\sqrt{2629}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{2629}}{2*1}=\frac{-14-2\sqrt{2629}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{2629}}{2*1}=\frac{-14+2\sqrt{2629}}{2}
$