12x(x+11)=144

Solution for 12x(x+11)=144 equation:

12x(x+11)=144

We move all terms to the left:

12x(x+11)-(144)=0

We multiply parentheses

12x^2+132x-144=0

a = 12; b = 132; c = -144;
Δ = b2-4ac
Δ = 1322-4·12·(-144)
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(132)-156}{2*12}=\frac{-288}{24}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(132)+156}{2*12}=\frac{24}{24}
=1
$