(2x+16)(2x+14)=528

Solution for (2x+16)(2x+14)=528 equation:

(2x+16)(2x+14)=528

We move all terms to the left:

(2x+16)(2x+14)-(528)=0

We multiply parentheses ..

(+4x^2+28x+32x+224)-528=0

We get rid of parentheses

4x^2+28x+32x+224-528=0

We add all the numbers together, and all the variables

4x^2+60x-304=0

a = 4; b = 60; c = -304;
Δ = b2-4ac
Δ = 602-4·4·(-304)
Δ = 8464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8464}=92$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-92}{2*4}=\frac{-152}{8}
=-19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+92}{2*4}=\frac{32}{8}
=4
$