m^2+m-28=8

Simple and best practice solution for m^2+m-28=8 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+m-28=8 equation: 


Simplifying
m2 + m + -28 = 8

Reorder the terms:
-28 + m + m2 = 8

Solving
-28 + m + m2 = 8

Solving for variable 'm'.

Reorder the terms:
-28 + -8 + m + m2 = 8 + -8

Combine like terms: -28 + -8 = -36
-36 + m + m2 = 8 + -8

Combine like terms: 8 + -8 = 0
-36 + m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + m + 36 + m2 = 0 + 36

Reorder the terms:
-36 + 36 + m + m2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + m + m2 = 0 + 36
m + m2 = 0 + 36

Combine like terms: 0 + 36 = 36
m + m2 = 36

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
m + 0.25 + m2 = 36 + 0.25

Reorder the terms:
0.25 + m + m2 = 36 + 0.25

Combine like terms: 36 + 0.25 = 36.25
0.25 + m + m2 = 36.25

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = 36.25

Calculate the square root of the right side: 6.020797289

Break this problem into two subproblems by setting 
(m + 0.5) equal to 6.020797289 and -6.020797289.


Subproblem 1
m + 0.5 = 6.020797289

Simplifying
m + 0.5 = 6.020797289

Reorder the terms:
0.5 + m = 6.020797289

Solving
0.5 + m = 6.020797289

Solving for variable 'm'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + m = 6.020797289 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + m = 6.020797289 + -0.5
m = 6.020797289 + -0.5

Combine like terms: 6.020797289 + -0.5 = 5.520797289
m = 5.520797289

Simplifying
m = 5.520797289


Subproblem 2
m + 0.5 = -6.020797289

Simplifying
m + 0.5 = -6.020797289

Reorder the terms:
0.5 + m = -6.020797289

Solving
0.5 + m = -6.020797289

Solving for variable 'm'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + m = -6.020797289 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + m = -6.020797289 + -0.5
m = -6.020797289 + -0.5

Combine like terms: -6.020797289 + -0.5 = -6.520797289
m = -6.520797289

Simplifying
m = -6.520797289


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {5.520797289, -6.520797289}

See similar equations:

| 3f+9=21 | | p^2-12p+11=0 | | 4+3v=-8 | | 10x^2-4x=14 | | (x)9-15=5 | | 4(w-3)=-34 | | 2y+8=38 | | -2+y=5 | | (4y+8)(4y+8)=64 | | 2y+8=238 | | -4.5x-3=12 | | -.5(d-1.5)=2.5 | | 1(4)x+10=-7 | | (-5ab)6-ab(4+1)= | | 4(2p-7)=5(10-p) | | 6x^2-14x=12 | | 3x+7-2x=0 | | X+100=-9 | | 2a(7a+6)=2 | | 231-w=276 | | 2(4u-5)=7(11-3u) | | 3c^2+8c+5=0 | | -75+6y+7=5(3y-2)-4 | | -7z-5z= | | 7x^6-12-1x^4-7= | | vx+w=5 | | 1x+4y=20 | | -68+6y=15y-4 | | (x)6-7=3 | | 5x-15=3x+39 | | r^2-2r-35=0 | | a+12=-1-2a+10 |

Equations solver categories