(2x+79)(2x+39)=130

Solution for (2x+79)(2x+39)=130 equation:

(2x+79)(2x+39)=130

We move all terms to the left:

(2x+79)(2x+39)-(130)=0

We multiply parentheses ..

(+4x^2+78x+158x+3081)-130=0

We get rid of parentheses

4x^2+78x+158x+3081-130=0

We add all the numbers together, and all the variables

4x^2+236x+2951=0

a = 4; b = 236; c = +2951;
Δ = b2-4ac
Δ = 2362-4·4·2951
Δ = 8480
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:

$\sqrt{\Delta}=\sqrt{8480}=\sqrt{16*530}=\sqrt{16}*\sqrt{530}=4\sqrt{530}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(236)-4\sqrt{530}}{2*4}=\frac{-236-4\sqrt{530}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(236)+4\sqrt{530}}{2*4}=\frac{-236+4\sqrt{530}}{8}
$