(5+x)*x=0.0065

Solution for (5+x)*x=0.0065 equation:

(5+x)*x=0.0065

We move all terms to the left:

(5+x)*x-(0.0065)=0

We add all the numbers together, and all the variables

(x+5)*x-(0.0065)=0

We add all the numbers together, and all the variables

(x+5)*x-0.0065=0

We multiply parentheses

x^2+5x-0.0065=0

a = 1; b = 5; c = -0.0065;
Δ = b2-4ac
Δ = 52-4·1·(-0.0065)
Δ = 25.026
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{-(5)-\sqrt{25.026}}{2*1}=\frac{-5-\sqrt{25.026}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{25.026}}{2*1}=\frac{-5+\sqrt{25.026}}{2}
$