9x^2=300^2

Solution for 9x^2=300^2 equation:

9x^2=300^2

We move all terms to the left:

9x^2-(300^2)=0

We add all the numbers together, and all the variables

9x^2-90000=0

a = 9; b = 0; c = -90000;
Δ = b2-4ac
Δ = 02-4·9·(-90000)
Δ = 3240000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3240000}=1800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1800}{2*9}=\frac{-1800}{18}
=-100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1800}{2*9}=\frac{1800}{18}
=100
$