G(x)=7x^2-576

Solution for G(x)=7x^2-576 equation:

(G)=7G^2-576

We move all terms to the left:

(G)-(7G^2-576)=0

We get rid of parentheses

-7G^2+G+576=0

a = -7; b = 1; c = +576;
Δ = b2-4ac
Δ = 12-4·(-7)·576
Δ = 16129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$G_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$G_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16129}=127$
$G_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-127}{2*-7}=\frac{-128}{-14}
=9+1/7
$
$G_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+127}{2*-7}=\frac{126}{-14}
=-9
$