175=3x^2

Solution for 175=3x^2 equation:

175=3x^2

We move all terms to the left:

175-(3x^2)=0

a = -3; b = 0; c = +175;
Δ = b2-4ac
Δ = 02-4·(-3)·175
Δ = 2100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2100}=\sqrt{100*21}=\sqrt{100}*\sqrt{21}=10\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{21}}{2*-3}=\frac{0-10\sqrt{21}}{-6}
=-\frac{10\sqrt{21}}{-6}
=-\frac{5\sqrt{21}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{21}}{2*-3}=\frac{0+10\sqrt{21}}{-6}
=\frac{10\sqrt{21}}{-6}
=\frac{5\sqrt{21}}{-3}
$