(5503.80+x)x.0975=6554

Solution for (5503.80+x)x.0975=6554 equation:

(5503.80+x)x.0975=6554

We move all terms to the left:

(5503.80+x)x.0975-(6554)=0

We add all the numbers together, and all the variables

(x+5503.8)x.0975-6554=0

We multiply parentheses

x^2+5503.8x-6554=0

a = 1; b = 5503.8; c = -6554;
Δ = b2-4ac
Δ = 5503.82-4·1·(-6554)
Δ = 30318030.44
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{-(5503.8)-\sqrt{30318030.44}}{2*1}=\frac{-5503.8-\sqrt{30318030.44}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5503.8)+\sqrt{30318030.44}}{2*1}=\frac{-5503.8+\sqrt{30318030.44}}{2}
$