3r^2-2=58.75

Solution for 3r^2-2=58.75 equation:

3r^2-2=58.75

We move all terms to the left:

3r^2-2-(58.75)=0

We add all the numbers together, and all the variables

3r^2-60.75=0

a = 3; b = 0; c = -60.75;
Δ = b2-4ac
Δ = 02-4·3·(-60.75)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-27}{2*3}=\frac{-27}{6}
=-4+1/2
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+27}{2*3}=\frac{27}{6}
=4+1/2
$