-6m(2)=-141

Solution for -6m(2)=-141 equation:

-6m(2)=-141

We move all terms to the left:

-6m(2)-(-141)=0

We add all the numbers together, and all the variables

-6m^2+141=0

a = -6; b = 0; c = +141;
Δ = b2-4ac
Δ = 02-4·(-6)·141
Δ = 3384
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:

$\sqrt{\Delta}=\sqrt{3384}=\sqrt{36*94}=\sqrt{36}*\sqrt{94}=6\sqrt{94}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{94}}{2*-6}=\frac{0-6\sqrt{94}}{-12}
=-\frac{6\sqrt{94}}{-12}
=-\frac{\sqrt{94}}{-2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{94}}{2*-6}=\frac{0+6\sqrt{94}}{-12}
=\frac{6\sqrt{94}}{-12}
=\frac{\sqrt{94}}{-2}
$