24x^2-4=380

Solution for 24x^2-4=380 equation:

24x^2-4=380

We move all terms to the left:

24x^2-4-(380)=0

We add all the numbers together, and all the variables

24x^2-384=0

a = 24; b = 0; c = -384;
Δ = b2-4ac
Δ = 02-4·24·(-384)
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{-(0)-192}{2*24}=\frac{-192}{48}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*24}=\frac{192}{48}
=4
$