Mx(13/16)=39

Solution for Mx(13/16)=39 equation:

M(13/16)=39

We move all terms to the left:

M(13/16)-(39)=0

We add all the numbers together, and all the variables

M(+13/16)-39=0

We multiply parentheses

13M^2-39=0

a = 13; b = 0; c = -39;
Δ = b2-4ac
Δ = 02-4·13·(-39)
Δ = 2028
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$M_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$M_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2028}=\sqrt{676*3}=\sqrt{676}*\sqrt{3}=26\sqrt{3}$
$M_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-26\sqrt{3}}{2*13}=\frac{0-26\sqrt{3}}{26}
=-\frac{26\sqrt{3}}{26}
=-\sqrt{3}
$
$M_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+26\sqrt{3}}{2*13}=\frac{0+26\sqrt{3}}{26}
=\frac{26\sqrt{3}}{26}
=\sqrt{3}
$