8+8m-4m^2=2m^2+9m-3

Solution for 8+8m-4m^2=2m^2+9m-3 equation:

8+8m-4m^2=2m^2+9m-3

We move all terms to the left:

8+8m-4m^2-(2m^2+9m-3)=0

We get rid of parentheses

-4m^2-2m^2+8m-9m+3+8=0

We add all the numbers together, and all the variables

-6m^2-1m+11=0

a = -6; b = -1; c = +11;
Δ = b2-4ac
Δ = -12-4·(-6)·11
Δ = 265
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{265}}{2*-6}=\frac{1-\sqrt{265}}{-12}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{265}}{2*-6}=\frac{1+\sqrt{265}}{-12}
$