3x2=375

Solution for 3x2=375 equation:

3x^2=375

We move all terms to the left:

3x^2-(375)=0

a = 3; b = 0; c = -375;
Δ = b2-4ac
Δ = 02-4·3·(-375)
Δ = 4500
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:

$\sqrt{\Delta}=\sqrt{4500}=\sqrt{900*5}=\sqrt{900}*\sqrt{5}=30\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{5}}{2*3}=\frac{0-30\sqrt{5}}{6}
=-\frac{30\sqrt{5}}{6}
=-5\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{5}}{2*3}=\frac{0+30\sqrt{5}}{6}
=\frac{30\sqrt{5}}{6}
=5\sqrt{5}
$