-6m^2=-32m

Solution for -6m^2=-32m equation:

-6m^2=-32m

We move all terms to the left:

-6m^2-(-32m)=0

We get rid of parentheses

-6m^2+32m=0

a = -6; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·(-6)·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*-6}=\frac{-64}{-12}
=5+1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*-6}=\frac{0}{-12}
=0
$