39=(7x-2)(17x+6)

Solution for 39=(7x-2)(17x+6) equation:

39=(7x-2)(17x+6)

We move all terms to the left:

39-((7x-2)(17x+6))=0

We multiply parentheses ..

-((+119x^2+42x-34x-12))+39=0


We calculate terms in parentheses: -((+119x^2+42x-34x-12)), so:

(+119x^2+42x-34x-12)

We get rid of parentheses

119x^2+42x-34x-12

We add all the numbers together, and all the variables

119x^2+8x-12

Back to the equation:

-(119x^2+8x-12)


We get rid of parentheses

-119x^2-8x+12+39=0

We add all the numbers together, and all the variables

-119x^2-8x+51=0

a = -119; b = -8; c = +51;
Δ = b2-4ac
Δ = -82-4·(-119)·51
Δ = 24340
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:

$\sqrt{\Delta}=\sqrt{24340}=\sqrt{4*6085}=\sqrt{4}*\sqrt{6085}=2\sqrt{6085}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{6085}}{2*-119}=\frac{8-2\sqrt{6085}}{-238}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{6085}}{2*-119}=\frac{8+2\sqrt{6085}}{-238}
$