2m^2-2m-2=0

Simple and best practice solution for 2m^2-2m-2=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 2m^2-2m-2=0 equation: 


Simplifying
2m2 + -2m + -2 = 0

Reorder the terms:
-2 + -2m + 2m2 = 0

Solving
-2 + -2m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -1m + m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -1m + m2)' equal to zero and attempt to solve:

Simplifying
-1 + -1m + m2 = 0

Solving
-1 + -1m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -1m + 1 + m2 = 0 + 1

Reorder the terms:
-1 + 1 + -1m + m2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1m + m2 = 0 + 1
-1m + m2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1m + m2 = 1

The m term is -1m.  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.
-1m + 0.25 + m2 = 1 + 0.25

Reorder the terms:
0.25 + -1m + m2 = 1 + 0.25

Combine like terms: 1 + 0.25 = 1.25
0.25 + -1m + m2 = 1.25

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(m + -0.5) equal to 1.118033989 and -1.118033989.


Subproblem 1
m + -0.5 = 1.118033989

Simplifying
m + -0.5 = 1.118033989

Reorder the terms:
-0.5 + m = 1.118033989

Solving
-0.5 + m = 1.118033989

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 = 1.118033989 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + m = 1.118033989 + 0.5
m = 1.118033989 + 0.5

Combine like terms: 1.118033989 + 0.5 = 1.618033989
m = 1.618033989

Simplifying
m = 1.618033989


Subproblem 2
m + -0.5 = -1.118033989

Simplifying
m + -0.5 = -1.118033989

Reorder the terms:
-0.5 + m = -1.118033989

Solving
-0.5 + m = -1.118033989

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 = -1.118033989 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + m = -1.118033989 + 0.5
m = -1.118033989 + 0.5

Combine like terms: -1.118033989 + 0.5 = -0.618033989
m = -0.618033989

Simplifying
m = -0.618033989


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {1.618033989, -0.618033989}
Solution
m = {1.618033989, -0.618033989}

See similar equations:

| 4ab+8j-2= | | x^2-84x=-5x | | 2m+4=11 | | x^2-26x=-56 | | ln*4x=3 | | -4(-7+4r)=-28-n | | 5-4x+3=-6x-8 | | 4x-8+3x=5x+10-4x | | 11x^4+37x^2+26=0 | | 9x-11=2-2x+9 | | u^2=16 | | 3x+26=1x+10 | | 10xlog(2x)=30 | | 5x/3-4=6 | | 4x+7=12x+20 | | x^2+3x=1-2 | | inx=-2.5 | | 100x=0 | | 4+30x=20+6 | | 3x-7=6-6x+14 | | -16u+12+4u=-2u-4 | | 2x-x(3x+1)=15-3x(x+2) | | (4x-1)(2x+2)=12 | | 3u+7=-8 | | (x^2)(x^2-61)=192 | | 10y-2=8x | | (10y-2)=(x^2-9) | | X(12x+2)=0 | | -(2)*2+3(2+(-1))*(-1)-12= | | 5100/60 | | 10x-25x^2=0 | | 3.4=0.5x |

Equations solver categories