144=2(x+5)*2x

Solution for 144=2(x+5)*2x equation:

144=2(x+5)*2x

We move all terms to the left:

144-(2(x+5)*2x)=0


We calculate terms in parentheses: -(2(x+5)*2x), so:

2(x+5)*2x

We multiply parentheses

4x^2+20x

Back to the equation:

-(4x^2+20x)


We get rid of parentheses

-4x^2-20x+144=0

a = -4; b = -20; c = +144;
Δ = b2-4ac
Δ = -202-4·(-4)·144
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-52}{2*-4}=\frac{-32}{-8}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+52}{2*-4}=\frac{72}{-8}
=-9
$