4x^2-48x-144x=0

Solution for 4x^2-48x-144x=0 equation:

4x^2-48x-144x=0

We add all the numbers together, and all the variables

4x^2-192x=0

a = 4; b = -192; c = 0;
Δ = b2-4ac
Δ = -1922-4·4·0
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-192)-192}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-192)+192}{2*4}=\frac{384}{8}
=48
$