-6m^2-15m=3m-8m^2-36

Solution for -6m^2-15m=3m-8m^2-36 equation:

-6m^2-15m=3m-8m^2-36

We move all terms to the left:

-6m^2-15m-(3m-8m^2-36)=0

We get rid of parentheses

-6m^2+8m^2-3m-15m+36=0

We add all the numbers together, and all the variables

2m^2-18m+36=0

a = 2; b = -18; c = +36;
Δ = b2-4ac
Δ = -182-4·2·36
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-6}{2*2}=\frac{12}{4}
=3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+6}{2*2}=\frac{24}{4}
=6
$