-1(5/13)=6m

Solution for -1(5/13)=6m equation:

-1(5/13)=6m

We move all terms to the left:

-1(5/13)-(6m)=0

We add all the numbers together, and all the variables

-6m-1(+5/13)=0

We multiply all the terms by the denominator


-6m*13)-1(+5=0

Wy multiply elements

-78m^2+5=0

a = -78; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-78)·5
Δ = 1560
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:

$\sqrt{\Delta}=\sqrt{1560}=\sqrt{4*390}=\sqrt{4}*\sqrt{390}=2\sqrt{390}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{390}}{2*-78}=\frac{0-2\sqrt{390}}{-156}
=-\frac{2\sqrt{390}}{-156}
=-\frac{\sqrt{390}}{-78}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{390}}{2*-78}=\frac{0+2\sqrt{390}}{-156}
=\frac{2\sqrt{390}}{-156}
=\frac{\sqrt{390}}{-78}
$