4x(x+8)=5472

Solution for 4x(x+8)=5472 equation:

4x(x+8)=5472

We move all terms to the left:

4x(x+8)-(5472)=0

We multiply parentheses

4x^2+32x-5472=0

a = 4; b = 32; c = -5472;
Δ = b2-4ac
Δ = 322-4·4·(-5472)
Δ = 88576
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:

$\sqrt{\Delta}=\sqrt{88576}=\sqrt{256*346}=\sqrt{256}*\sqrt{346}=16\sqrt{346}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-16\sqrt{346}}{2*4}=\frac{-32-16\sqrt{346}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+16\sqrt{346}}{2*4}=\frac{-32+16\sqrt{346}}{8}
$