X*3x=6689

Solution for X*3x=6689 equation:

X*3X=6689

We move all terms to the left:

X*3X-(6689)=0

Wy multiply elements

3X^2-6689=0

a = 3; b = 0; c = -6689;
Δ = b2-4ac
Δ = 02-4·3·(-6689)
Δ = 80268
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:

$\sqrt{\Delta}=\sqrt{80268}=\sqrt{4*20067}=\sqrt{4}*\sqrt{20067}=2\sqrt{20067}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{20067}}{2*3}=\frac{0-2\sqrt{20067}}{6}
=-\frac{2\sqrt{20067}}{6}
=-\frac{\sqrt{20067}}{3}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{20067}}{2*3}=\frac{0+2\sqrt{20067}}{6}
=\frac{2\sqrt{20067}}{6}
=\frac{\sqrt{20067}}{3}
$