x^2+5x-(4.89290729123)*(-1x+0.4)-2=0

Solution for x^2+5x-(4.89290729123)*(-1x+0.4)-2=0 equation:

x^2+5x-(4.89290729123)(-1x+0.4)-2=0

We multiply parentheses ..

x^2+5x-(-4.89290729123x+1.95716291649)-2=0

We get rid of parentheses

x^2+5x+4.89290729123x-1.95716291649-2=0

We add all the numbers together, and all the variables

x^2+9.89290729123x-3.95716291649=0

a = 1; b = 9.89290729123; c = -3.95716291649;
Δ = b2-4ac
Δ = 9.892907291232-4·1·(-3.95716291649)
Δ = 113.698266339
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{-(9.89290729123)-\sqrt{113.698266339}}{2*1}=\frac{-9.89290729123-\sqrt{113.698266339}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.89290729123)+\sqrt{113.698266339}}{2*1}=\frac{-9.89290729123+\sqrt{113.698266339}}{2}
$