(2*x+53.2)*(x+77.5)=4123

Solution for (2*x+53.2)*(x+77.5)=4123 equation:

(2x+53.2)(x+77.5)=4123

We move all terms to the left:

(2x+53.2)(x+77.5)-(4123)=0

We multiply parentheses ..

(+2x^2+155x+53.2x+4123)-4123=0

We get rid of parentheses

2x^2+155x+53.2x+4123-4123=0

We add all the numbers together, and all the variables

2x^2+208.2x=0

a = 2; b = 208.2; c = 0;
Δ = b2-4ac
Δ = 208.22-4·2·0
Δ = 43347.24
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{-(208.2)-\sqrt{43347.24}}{2*2}=\frac{-208.2-\sqrt{43347.24}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(208.2)+\sqrt{43347.24}}{2*2}=\frac{-208.2+\sqrt{43347.24}}{4}
$