0,75x^2=12

Solution for 0,75x^2=12 equation:

0.75x^2=12

We move all terms to the left:

0.75x^2-(12)=0

a = 0.75; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·0.75·(-12)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*0.75}=\frac{-6}{1.5}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*0.75}=\frac{6}{1.5}
=4
$