0=4x^2-484

Solution for 0=4x^2-484 equation:

0=4x^2-484

We move all terms to the left:

0-(4x^2-484)=0

We add all the numbers together, and all the variables

-(4x^2-484)=0

We get rid of parentheses

-4x^2+484=0

a = -4; b = 0; c = +484;
Δ = b2-4ac
Δ = 02-4·(-4)·484
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-88}{2*-4}=\frac{-88}{-8}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+88}{2*-4}=\frac{88}{-8}
=-11
$