x(x+1.6)=5.97

Solution for x(x+1.6)=5.97 equation:

x(x+1.6)=5.97

We move all terms to the left:

x(x+1.6)-(5.97)=0

We add all the numbers together, and all the variables

x(x+1.6)-5.97=0

We multiply parentheses

x^2+1.6x-5.97=0

a = 1; b = 1.6; c = -5.97;
Δ = b2-4ac
Δ = 1.62-4·1·(-5.97)
Δ = 26.44
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{-(1.6)-\sqrt{26.44}}{2*1}=\frac{-1.6-\sqrt{26.44}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.6)+\sqrt{26.44}}{2*1}=\frac{-1.6+\sqrt{26.44}}{2}
$