(m+n)(m^2-mn+m^2)=

Solution for (m+n)(m^2-mn+m^2)= equation:

Simplifying
(m + n)(m2 + -1mn + m2) = 0

Reorder the terms:
(m + n)(-1mn + m2 + m2) = 0

Combine like terms: m2 + m2 = 2m2
(m + n)(-1mn + 2m2) = 0

Multiply (m + n) * (-1mn + 2m2)
(m(-1mn + 2m2) + n(-1mn + 2m2)) = 0
((-1mn * m + 2m2 * m) + n(-1mn + 2m2)) = 0
((-1m2n + 2m3) + n(-1mn + 2m2)) = 0
(-1m2n + 2m3 + (-1mn * n + 2m2 * n)) = 0
(-1m2n + 2m3 + (-1mn2 + 2m2n)) = 0

Reorder the terms:
(-1mn2 + -1m2n + 2m2n + 2m3) = 0

Combine like terms: -1m2n + 2m2n = 1m2n
(-1mn2 + 1m2n + 2m3) = 0

Solving
-1mn2 + 1m2n + 2m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1n2 + mn + 2m2) = 0

Factor a trinomial.
m((-1n + -1m)(n + -2m)) = 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 '(-1n + -1m)' equal to zero and attempt to solve:

Simplifying
-1n + -1m = 0

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

Solving
-1m + -1n = 0

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

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

Combine like terms: -1n + n = 0
-1m + 0 = 0 + n
-1m = 0 + n
Remove the zero:
-1m = n

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

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

Simplifying
n + -2m = 0

Reorder the terms:
-2m + n = 0

Solving
-2m + n = 0

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

Add '-1n' to each side of the equation.
-2m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
-2m + 0 = 0 + -1n
-2m = 0 + -1n
Remove the zero:
-2m = -1n

Divide each side by '-2'.
m = 0.5n

Simplifying
m = 0.5n
Solution
m = {0, -1n, 0.5n}