30x^2=105^2

Solution for 30x^2=105^2 equation:

30x^2=105^2

We move all terms to the left:

30x^2-(105^2)=0

We add all the numbers together, and all the variables

30x^2-11025=0

a = 30; b = 0; c = -11025;
Δ = b2-4ac
Δ = 02-4·30·(-11025)
Δ = 1323000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1323000}=\sqrt{44100*30}=\sqrt{44100}*\sqrt{30}=210\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210\sqrt{30}}{2*30}=\frac{0-210\sqrt{30}}{60}
=-\frac{210\sqrt{30}}{60}
=-\frac{7\sqrt{30}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210\sqrt{30}}{2*30}=\frac{0+210\sqrt{30}}{60}
=\frac{210\sqrt{30}}{60}
=\frac{7\sqrt{30}}{2}
$