30x^2-270=0

Solution for 30x^2-270=0 equation:

30x^2-270=0

a = 30; b = 0; c = -270;
Δ = b2-4ac
Δ = 02-4·30·(-270)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*30}=\frac{-180}{60}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*30}=\frac{180}{60}
=3
$