x(2x+30)=4400

Solution for x(2x+30)=4400 equation:

x(2x+30)=4400

We move all terms to the left:

x(2x+30)-(4400)=0

We multiply parentheses

2x^2+30x-4400=0

a = 2; b = 30; c = -4400;
Δ = b2-4ac
Δ = 302-4·2·(-4400)
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-190}{2*2}=\frac{-220}{4}
=-55
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+190}{2*2}=\frac{160}{4}
=40
$