144=12x(x+5)

Solution for 144=12x(x+5) equation:

144=12x(x+5)

We move all terms to the left:

144-(12x(x+5))=0


We calculate terms in parentheses: -(12x(x+5)), so:

12x(x+5)

We multiply parentheses

12x^2+60x

Back to the equation:

-(12x^2+60x)


We get rid of parentheses

-12x^2-60x+144=0

a = -12; b = -60; c = +144;
Δ = b2-4ac
Δ = -602-4·(-12)·144
Δ = 10512
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:

$\sqrt{\Delta}=\sqrt{10512}=\sqrt{144*73}=\sqrt{144}*\sqrt{73}=12\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-12\sqrt{73}}{2*-12}=\frac{60-12\sqrt{73}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+12\sqrt{73}}{2*-12}=\frac{60+12\sqrt{73}}{-24}
$