3x*x=0.75

Solution for 3x*x=0.75 equation:

3x*x=0.75

We move all terms to the left:

3x*x-(0.75)=0

We add all the numbers together, and all the variables

3x*x-0.75=0

Wy multiply elements

3x^2-0.75=0

a = 3; b = 0; c = -0.75;
Δ = b2-4ac
Δ = 02-4·3·(-0.75)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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