6m+m-4(-2m+1-m)m=-8

Simple and best practice solution for 6m+m-4(-2m+1-m)m=-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 6m+m-4(-2m+1-m)m=-8 equation:


Simplifying
6m + m + -4(-2m + 1 + -1m) * m = -8

Reorder the terms:
6m + m + -4(1 + -2m + -1m) * m = -8

Combine like terms: -2m + -1m = -3m
6m + m + -4(1 + -3m) * m = -8

Reorder the terms for easier multiplication:
6m + m + -4m(1 + -3m) = -8
6m + m + (1 * -4m + -3m * -4m) = -8
6m + m + (-4m + 12m2) = -8

Combine like terms: 6m + m = 7m
7m + -4m + 12m2 = -8

Combine like terms: 7m + -4m = 3m
3m + 12m2 = -8

Solving
3m + 12m2 = -8

Solving for variable 'm'.

Reorder the terms:
8 + 3m + 12m2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 3m + 12m2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.6666666667 + 0.25m + m2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.25m + -0.6666666667 + m2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.25m + m2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.25m + m2 = 0 + -0.6666666667
0.25m + m2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.25m + m2 = -0.6666666667

The m term is 0.25m.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25m + 0.015625 + m2 = -0.6666666667 + 0.015625

Reorder the terms:
0.015625 + 0.25m + m2 = -0.6666666667 + 0.015625

Combine like terms: -0.6666666667 + 0.015625 = -0.6510416667
0.015625 + 0.25m + m2 = -0.6510416667

Factor a perfect square on the left side:
(m + 0.125)(m + 0.125) = -0.6510416667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8+9r=23 | | 10x-95=5x-5 | | 6y+7=21 | | 41-4x=14x+15 | | M+(-13)=-19 | | 3x-4+2x+6=180 | | 11-7x=55-35x | | 4.8+6.4=-8.48 | | 4f+6=23 | | 5x+12=-78-10x | | 6x+4+40-5x=180 | | 15y-40=35 | | -41-3x=13-9x | | 3x-4x+2x-9x= | | 6x+4x+40-5x=180 | | 4m+9=21 | | 128-3x=5x+24 | | 6x+4+5x+40=180 | | (r-25)(r+81)=0 | | 8=4n+5 | | 2n^3= | | 3t^2+15t+2=0 | | -6a-12=3-a | | 2c-5=9 | | 5x^3+13x^2-6x=0 | | -15t^2+75t+10=0 | | 5x+450=7x-1170 | | 10=r^2+3r | | 10=x^2+3x | | .5x-11=13 | | 8v-4v=7-v+4v | | -14=2+4x |

Equations solver categories