0.75x^2=48

Solution for 0.75x^2=48 equation:

0.75x^2=48

We move all terms to the left:

0.75x^2-(48)=0

a = 0.75; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·0.75·(-48)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*0.75}=\frac{-12}{1.5}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*0.75}=\frac{12}{1.5}
=8
$