333x2=666

Solution for 333x2=666 equation:

333x^2=666

We move all terms to the left:

333x^2-(666)=0

a = 333; b = 0; c = -666;
Δ = b2-4ac
Δ = 02-4·333·(-666)
Δ = 887112
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:

$\sqrt{\Delta}=\sqrt{887112}=\sqrt{443556*2}=\sqrt{443556}*\sqrt{2}=666\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-666\sqrt{2}}{2*333}=\frac{0-666\sqrt{2}}{666}
=-\frac{666\sqrt{2}}{666}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+666\sqrt{2}}{2*333}=\frac{0+666\sqrt{2}}{666}
=\frac{666\sqrt{2}}{666}
=\sqrt{2}
$