3x(11x=13)

Solution for 3x(11x=13) equation:

3x(11x=13)

We move all terms to the left:

3x(11x-(13))=0

We multiply parentheses

33x^2-39x=0

a = 33; b = -39; c = 0;
Δ = b2-4ac
Δ = -392-4·33·0
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-39}{2*33}=\frac{0}{66}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+39}{2*33}=\frac{78}{66}
=1+2/11
$