Answer:
Simple and best practice solution for 13m+26m^2-39m^3= 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.
Simplifying
13m + 26m2 + -39m3 = 0
Solving
13m + 26m2 + -39m3 = 0
Solving for variable 'm'.
Factor out the Greatest Common Factor (GCF), '13m'.
13m(1 + 2m + -3m2) = 0
Factor a trinomial.
13m((1 + -1m)(1 + 3m)) = 0
Ignore the factor 13.
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 '(1 + -1m)' equal to zero and attempt to solve:
Simplifying
1 + -1m = 0
Solving
1 + -1m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1m = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1
Combine like terms: 0 + -1 = -1
-1m = -1
Divide each side by '-1'.
m = 1
Simplifying
m = 1
Subproblem 3
Set the factor '(1 + 3m)' equal to zero and attempt to solve:
Simplifying
1 + 3m = 0
Solving
1 + 3m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 3m = 0 + -1
Combine like terms: 1 + -1 = 0
0 + 3m = 0 + -1
3m = 0 + -1
Combine like terms: 0 + -1 = -1
3m = -1
Divide each side by '3'.
m = -0.3333333333
Simplifying
m = -0.3333333333
Solution
m = {0, 1, -0.3333333333}
