3m(m-8)=2(8-m)

Simple and best practice solution for 3m(m-8)=2(8-m) 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 3m(m-8)=2(8-m) equation: 


Simplifying
3m(m + -8) = 2(8 + -1m)

Reorder the terms:
3m(-8 + m) = 2(8 + -1m)
(-8 * 3m + m * 3m) = 2(8 + -1m)
(-24m + 3m2) = 2(8 + -1m)
-24m + 3m2 = (8 * 2 + -1m * 2)
-24m + 3m2 = (16 + -2m)

Solving
-24m + 3m2 = 16 + -2m

Solving for variable 'm'.

Reorder the terms:
-16 + -24m + 2m + 3m2 = 16 + -2m + -16 + 2m

Combine like terms: -24m + 2m = -22m
-16 + -22m + 3m2 = 16 + -2m + -16 + 2m

Reorder the terms:
-16 + -22m + 3m2 = 16 + -16 + -2m + 2m

Combine like terms: 16 + -16 = 0
-16 + -22m + 3m2 = 0 + -2m + 2m
-16 + -22m + 3m2 = -2m + 2m

Combine like terms: -2m + 2m = 0
-16 + -22m + 3m2 = 0

Factor a trinomial.
(-2 + -3m)(8 + -1m) = 0


Subproblem 1
Set the factor '(-2 + -3m)' equal to zero and attempt to solve:

Simplifying
-2 + -3m = 0

Solving
-2 + -3m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3m = 0 + 2
-3m = 0 + 2

Combine like terms: 0 + 2 = 2
-3m = 2

Divide each side by '-3'.
m = -0.6666666667

Simplifying
m = -0.6666666667

Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {-0.6666666667, 8}

See similar equations:

| 4x-8=3x-7 | | -3x+-3x=70 | | 12u^3v^5/16u+12u^4x^4 | | 2/5x=134 | | 2/5x=135 | | 432=36n | | 200=20n | | -12=2+5v+v | | 48=120n | | 3x-4(2)=25 | | 7x=16x-4 | | 1618a+56b=84 | | 84=14n | | 550=55n | | x-4=x+4/5 | | x+5/4=27 | | 1205a+41b=61 | | 49a+7b=19 | | 15.83-22.45x=16.16x+4.1 | | x=560t-16t^2 | | h(5y)=3x^2-2 | | 3/x-5=-2/x+7+21/(x-5)(x+7) | | 2kx-5y+2x+3=0 | | P=5x+133 | | 5x=6+3x+2 | | 3(x-2)=2x-8 | | 27x^2z/-3x^2z^4 | | (3x+18)/y=21 | | 10x^2-5x-11=0 | | 7x^2-14x-49=7 | | -w/8=1 | | .60(x)=9 |

Equations solver categories