(x)(x+14)=480

Solution for (x)(x+14)=480 equation:

(x)(x+14)=480

We move all terms to the left:

(x)(x+14)-(480)=0

We multiply parentheses

x^2+14x-480=0

a = 1; b = 14; c = -480;
Δ = b2-4ac
Δ = 142-4·1·(-480)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-46}{2*1}=\frac{-60}{2}
=-30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+46}{2*1}=\frac{32}{2}
=16
$