x(2x+4)=198

Solution for x(2x+4)=198 equation:

x(2x+4)=198

We move all terms to the left:

x(2x+4)-(198)=0

We multiply parentheses

2x^2+4x-198=0

a = 2; b = 4; c = -198;
Δ = b2-4ac
Δ = 42-4·2·(-198)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-40}{2*2}=\frac{-44}{4}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+40}{2*2}=\frac{36}{4}
=9
$