4800x^2=2747x+2747

Solution for 4800x^2=2747x+2747 equation:

4800x^2=2747x+2747

We move all terms to the left:

4800x^2-(2747x+2747)=0

We get rid of parentheses

4800x^2-2747x-2747=0

a = 4800; b = -2747; c = -2747;
Δ = b2-4ac
Δ = -27472-4·4800·(-2747)
Δ = 60288409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2747)-\sqrt{60288409}}{2*4800}=\frac{2747-\sqrt{60288409}}{9600}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2747)+\sqrt{60288409}}{2*4800}=\frac{2747+\sqrt{60288409}}{9600}
$