x(899+x)=0.24

Solution for x(899+x)=0.24 equation:

x(899+x)=0.24

We move all terms to the left:

x(899+x)-(0.24)=0

We add all the numbers together, and all the variables

x(x+899)-(0.24)=0

We add all the numbers together, and all the variables

x(x+899)-0.24=0

We multiply parentheses

x^2+899x-0.24=0

a = 1; b = 899; c = -0.24;
Δ = b2-4ac
Δ = 8992-4·1·(-0.24)
Δ = 808201.96
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{-(899)-\sqrt{808201.96}}{2*1}=\frac{-899-\sqrt{808201.96}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(899)+\sqrt{808201.96}}{2*1}=\frac{-899+\sqrt{808201.96}}{2}
$