4x(x+9)=60

Solution for 4x(x+9)=60 equation:

4x(x+9)=60

We move all terms to the left:

4x(x+9)-(60)=0

We multiply parentheses

4x^2+36x-60=0

a = 4; b = 36; c = -60;
Δ = b2-4ac
Δ = 362-4·4·(-60)
Δ = 2256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2256}=\sqrt{16*141}=\sqrt{16}*\sqrt{141}=4\sqrt{141}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-4\sqrt{141}}{2*4}=\frac{-36-4\sqrt{141}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+4\sqrt{141}}{2*4}=\frac{-36+4\sqrt{141}}{8}
$