m^2+8m+8=0

Simple and best practice solution for m^2+8m+8=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for m^2+8m+8=0 equation: 


Simplifying
m2 + 8m + 8 = 0

Reorder the terms:
8 + 8m + m2 = 0

Solving
8 + 8m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 8m + -8 + m2 = 0 + -8

Reorder the terms:
8 + -8 + 8m + m2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 8m + m2 = 0 + -8
8m + m2 = 0 + -8

Combine like terms: 0 + -8 = -8
8m + m2 = -8

The m term is 8m.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8m + 16 + m2 = -8 + 16

Reorder the terms:
16 + 8m + m2 = -8 + 16

Combine like terms: -8 + 16 = 8
16 + 8m + m2 = 8

Factor a perfect square on the left side:
(m + 4)(m + 4) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(m + 4) equal to 2.828427125 and -2.828427125.


Subproblem 1
m + 4 = 2.828427125

Simplifying
m + 4 = 2.828427125

Reorder the terms:
4 + m = 2.828427125

Solving
4 + m = 2.828427125

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + m = 2.828427125 + -4

Combine like terms: 4 + -4 = 0
0 + m = 2.828427125 + -4
m = 2.828427125 + -4

Combine like terms: 2.828427125 + -4 = -1.171572875
m = -1.171572875

Simplifying
m = -1.171572875


Subproblem 2
m + 4 = -2.828427125

Simplifying
m + 4 = -2.828427125

Reorder the terms:
4 + m = -2.828427125

Solving
4 + m = -2.828427125

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + m = -2.828427125 + -4

Combine like terms: 4 + -4 = 0
0 + m = -2.828427125 + -4
m = -2.828427125 + -4

Combine like terms: -2.828427125 + -4 = -6.828427125
m = -6.828427125

Simplifying
m = -6.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {-1.171572875, -6.828427125}

See similar equations:

| -4+x/3=44 | | 24b=312 | | 3x^2+9x-11=y | | 2/5*-9=-7 | | y=3x^2+9x-11 | | n^2-27n-280=0 | | p^2-3p+2=0 | | 12=a+3 | | -1/1/3 | | 5/4r+2/r^2 | | c-10/-5=10 | | 40+7.5d=12.5d | | 2(x-1)+3x=15 | | 3z-1=z+7 | | 2/4x*4x/11 | | y=8-4/3 | | x/9+5=8 | | x/3+15=30 | | 3x+4=(x+3)2 | | 84=-7+7(m+6) | | k+2/-3=10 | | 172=-4(6n+5) | | 17+x/12=22 | | 5z+6=52 | | 81x^2+144x=-64 | | x^2-12x-1120=0 | | -175=-7(1-3x) | | 6-21=9x-6-8x | | 41-x/10=50 | | -2(a-3)-a=0 | | 45x^2-63x=0 | | 90=4y-2 |

Equations solver categories