3x2=6.75

Solution for 3x2=6.75 equation:

3x^2=6.75

We move all terms to the left:

3x^2-(6.75)=0

We add all the numbers together, and all the variables

3x^2-6.75=0

a = 3; b = 0; c = -6.75;
Δ = b2-4ac
Δ = 02-4·3·(-6.75)
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*3}=\frac{-9}{6}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+9}{2*3}=\frac{9}{6}
=1+1/2
$