5g^2=72

Solution for 5g^2=72 equation:

5g^2=72

We move all terms to the left:

5g^2-(72)=0

a = 5; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·5·(-72)
Δ = 1440
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1440}=\sqrt{144*10}=\sqrt{144}*\sqrt{10}=12\sqrt{10}$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{10}}{2*5}=\frac{0-12\sqrt{10}}{10}
=-\frac{12\sqrt{10}}{10}
=-\frac{6\sqrt{10}}{5}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{10}}{2*5}=\frac{0+12\sqrt{10}}{10}
=\frac{12\sqrt{10}}{10}
=\frac{6\sqrt{10}}{5}
$