2(2+6)=m2+12

Solution for 2(2+6)=m2+12 equation:

2(2+6)=m2+12

We move all terms to the left:

2(2+6)-(m2+12)=0

We add all the numbers together, and all the variables

-(+m^2+12)+28=0

We get rid of parentheses

-m^2-12+28=0

We add all the numbers together, and all the variables

-1m^2+16=0

a = -1; b = 0; c = +16;
Δ = b2-4ac
Δ = 02-4·(-1)·16
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8}{2*-1}=\frac{-8}{-2}
=+4
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8}{2*-1}=\frac{8}{-2}
=-4
$