-3m(m-2n)=5m

Simple and best practice solution for -3m(m-2n)=5m 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-2n)=5m equation: 


Simplifying
-3m(m + -2n) = 5m
(m * -3m + -2n * -3m) = 5m

Reorder the terms:
(6mn + -3m2) = 5m
(6mn + -3m2) = 5m

Solving
6mn + -3m2 = 5m

Solving for variable 'm'.

Reorder the terms:
-5m + 6mn + -3m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
-5m + 6mn + -3m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-5 + 6n + -3m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-5 + 6n + -3m)' equal to zero and attempt to solve:

Simplifying
-5 + 6n + -3m = 0

Reorder the terms:
-5 + -3m + 6n = 0

Solving
-5 + -3m + 6n = 0

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

Add '5' to each side of the equation.
-5 + -3m + 5 + 6n = 0 + 5

Reorder the terms:
-5 + 5 + -3m + 6n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3m + 6n = 0 + 5
-3m + 6n = 0 + 5

Combine like terms: 0 + 5 = 5
-3m + 6n = 5

Add '-6n' to each side of the equation.
-3m + 6n + -6n = 5 + -6n

Combine like terms: 6n + -6n = 0
-3m + 0 = 5 + -6n
-3m = 5 + -6n

Divide each side by '-3'.
m = -1.666666667 + 2n

Simplifying
m = -1.666666667 + 2n
Solution
m = {0, -1.666666667 + 2n}

See similar equations:

| 2(x+4)-7= | | 4(-5)-2(4)=15 | | 3(a-6)= | | 7+3(-2)=8 | | 63=6t-13t | | 6(7x)= | | 11w-13w=-6 | | -7=2x-1 | | 3+6(w+2)+w= | | 5n+55=60 | | 3x-18=0 | | 2m=-6n-5 | | 7*4= | | 2x+7=-15 | | 20=14x-8 | | 8z+5(6+z)+20= | | 2x=4-16 | | 2x=6-10 | | 8+5(3c-1)= | | 4y-6=1-2y | | 2*-1x=2 | | 2*x+6=16 | | 6*x-2=30 | | 5x+4x-7x-5=3 | | 3*1x=21 | | 3*3x-2=21 | | 17=9x+2-6x | | 21=7x+3-4x | | 2x+5x-4=10 | | 8n-(3n+8)=2 | | 0.5x=0.065 | | 7x-5= |

Equations solver categories