10a^2-10=360

Solution for 10a^2-10=360 equation:

10a^2-10=360

We move all terms to the left:

10a^2-10-(360)=0

We add all the numbers together, and all the variables

10a^2-370=0

a = 10; b = 0; c = -370;
Δ = b2-4ac
Δ = 02-4·10·(-370)
Δ = 14800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14800}=\sqrt{400*37}=\sqrt{400}*\sqrt{37}=20\sqrt{37}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{37}}{2*10}=\frac{0-20\sqrt{37}}{20}
=-\frac{20\sqrt{37}}{20}
=-\sqrt{37}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{37}}{2*10}=\frac{0+20\sqrt{37}}{20}
=\frac{20\sqrt{37}}{20}
=\sqrt{37}
$