X+9x(x+4)=180

Solution for X+9x(x+4)=180 equation:

X+9X(X+4)=180

We move all terms to the left:

X+9X(X+4)-(180)=0

We multiply parentheses

9X^2+X+36X-180=0

We add all the numbers together, and all the variables

9X^2+37X-180=0

a = 9; b = 37; c = -180;
Δ = b2-4ac
Δ = 372-4·9·(-180)
Δ = 7849
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{-(37)-\sqrt{7849}}{2*9}=\frac{-37-\sqrt{7849}}{18}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+\sqrt{7849}}{2*9}=\frac{-37+\sqrt{7849}}{18}
$