748-8484+8383x*28x=83

Solution for 748-8484+8383x*28x=83 equation:

748-8484+8383x*28x=83

We move all terms to the left:

748-8484+8383x*28x-(83)=0

We add all the numbers together, and all the variables

8383x*28x-7819=0

Wy multiply elements

234724x^2-7819=0

a = 234724; b = 0; c = -7819;
Δ = b2-4ac
Δ = 02-4·234724·(-7819)
Δ = 7341227824
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:

$\sqrt{\Delta}=\sqrt{7341227824}=\sqrt{784*9363811}=\sqrt{784}*\sqrt{9363811}=28\sqrt{9363811}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{9363811}}{2*234724}=\frac{0-28\sqrt{9363811}}{469448}
=-\frac{28\sqrt{9363811}}{469448}
=-\frac{\sqrt{9363811}}{16766}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{9363811}}{2*234724}=\frac{0+28\sqrt{9363811}}{469448}
=\frac{28\sqrt{9363811}}{469448}
=\frac{\sqrt{9363811}}{16766}
$