(2x+14)(2x+16)=624

Solution for (2x+14)(2x+16)=624 equation:

(2x+14)(2x+16)=624

We move all terms to the left:

(2x+14)(2x+16)-(624)=0

We multiply parentheses ..

(+4x^2+32x+28x+224)-624=0

We get rid of parentheses

4x^2+32x+28x+224-624=0

We add all the numbers together, and all the variables

4x^2+60x-400=0

a = 4; b = 60; c = -400;
Δ = b2-4ac
Δ = 602-4·4·(-400)
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{-(60)-100}{2*4}=\frac{-160}{8}
=-20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+100}{2*4}=\frac{40}{8}
=5
$