2x(2x+2)=624

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

2x(2x+2)=624

We move all terms to the left:

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

We multiply parentheses

4x^2+4x-624=0

a = 4; b = 4; c = -624;
Δ = b2-4ac
Δ = 42-4·4·(-624)
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{-(4)-100}{2*4}=\frac{-104}{8}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+100}{2*4}=\frac{96}{8}
=12
$