(5x+x)(8x)=1220

Solution for (5x+x)(8x)=1220 equation:

(5x+x)(8x)=1220

We move all terms to the left:

(5x+x)(8x)-(1220)=0

We add all the numbers together, and all the variables

(+6x)8x-1220=0

We multiply parentheses

48x^2-1220=0

a = 48; b = 0; c = -1220;
Δ = b2-4ac
Δ = 02-4·48·(-1220)
Δ = 234240
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:

$\sqrt{\Delta}=\sqrt{234240}=\sqrt{256*915}=\sqrt{256}*\sqrt{915}=16\sqrt{915}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{915}}{2*48}=\frac{0-16\sqrt{915}}{96}
=-\frac{16\sqrt{915}}{96}
=-\frac{\sqrt{915}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{915}}{2*48}=\frac{0+16\sqrt{915}}{96}
=\frac{16\sqrt{915}}{96}
=\frac{\sqrt{915}}{6}
$