(x+9)*x=48

Solution for (x+9)*x=48 equation:

(x+9)*x=48

We move all terms to the left:

(x+9)*x-(48)=0

We multiply parentheses

x^2+9x-48=0

a = 1; b = 9; c = -48;
Δ = b2-4ac
Δ = 92-4·1·(-48)
Δ = 273
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)-\sqrt{273}}{2*1}=\frac{-9-\sqrt{273}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{273}}{2*1}=\frac{-9+\sqrt{273}}{2}
$