-75x^2+108=0

Solution for -75x^2+108=0 equation:

-75x^2+108=0

a = -75; b = 0; c = +108;
Δ = b2-4ac
Δ = 02-4·(-75)·108
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*-75}=\frac{-180}{-150}
=1+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*-75}=\frac{180}{-150}
=-1+1/5
$