8x*6x+4=52

Solution for 8x*6x+4=52 equation:

8x*6x+4=52

We move all terms to the left:

8x*6x+4-(52)=0

We add all the numbers together, and all the variables

8x*6x-48=0

Wy multiply elements

48x^2-48=0

a = 48; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·48·(-48)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*48}=\frac{-96}{96}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*48}=\frac{96}{96}
=1
$