21m^3n^4-35m^2n^3+7m^2n^2=0

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Solution for 21m^3n^4-35m^2n^3+7m^2n^2=0 equation: 


Simplifying
21m3n4 + -35m2n3 + 7m2n2 = 0

Reorder the terms:
7m2n2 + -35m2n3 + 21m3n4 = 0

Solving
7m2n2 + -35m2n3 + 21m3n4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7m2n2'.
7m2n2(1 + -5n + 3mn2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'm2n2' equal to zero and attempt to solve:

Simplifying
m2n2 = 0

Solving
m2n2 = 0

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

Simplifying
m2n2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(1 + -5n + 3mn2)' equal to zero and attempt to solve:

Simplifying
1 + -5n + 3mn2 = 0

Reorder the terms:
1 + 3mn2 + -5n = 0

Solving
1 + 3mn2 + -5n = 0

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

Add '-1' to each side of the equation.
1 + 3mn2 + -1 + -5n = 0 + -1

Reorder the terms:
1 + -1 + 3mn2 + -5n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3mn2 + -5n = 0 + -1
3mn2 + -5n = 0 + -1

Combine like terms: 0 + -1 = -1
3mn2 + -5n = -1

Add '5n' to each side of the equation.
3mn2 + -5n + 5n = -1 + 5n

Combine like terms: -5n + 5n = 0
3mn2 + 0 = -1 + 5n
3mn2 = -1 + 5n

Divide each side by '3n2'.
m = -0.3333333333n-2 + 1.666666667n-1

Simplifying
m = -0.3333333333n-2 + 1.666666667n-1
Solution
m = {-0.3333333333n-2 + 1.666666667n-1}

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