6x^2-3.375=0

Solution for 6x^2-3.375=0 equation:

6x^2-3.375=0

a = 6; b = 0; c = -3.375;
Δ = b2-4ac
Δ = 02-4·6·(-3.375)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-9}{2*6}=\frac{-9}{12}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+9}{2*6}=\frac{9}{12}
=3/4
$