0=5m^2n^3-(6mn-4m^2n^3+3)+6

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Solution for 0=5m^2n^3-(6mn-4m^2n^3+3)+6 equation:


Simplifying
0 = 5m2n3 + -1(6mn + -4m2n3 + 3) + 6

Reorder the terms:
0 = 5m2n3 + -1(3 + 6mn + -4m2n3) + 6
0 = 5m2n3 + (3 * -1 + 6mn * -1 + -4m2n3 * -1) + 6
0 = 5m2n3 + (-3 + -6mn + 4m2n3) + 6

Reorder the terms:
0 = -3 + 6 + -6mn + 5m2n3 + 4m2n3

Combine like terms: -3 + 6 = 3
0 = 3 + -6mn + 5m2n3 + 4m2n3

Combine like terms: 5m2n3 + 4m2n3 = 9m2n3
0 = 3 + -6mn + 9m2n3

Solving
0 = 3 + -6mn + 9m2n3

Solving for variable 'm'.

Combine like terms: 0 + -3 = -3
-3 + 6mn + -9m2n3 = 3 + -6mn + 9m2n3 + -3 + 6mn + -9m2n3

Reorder the terms:
-3 + 6mn + -9m2n3 = 3 + -3 + -6mn + 6mn + 9m2n3 + -9m2n3

Combine like terms: 3 + -3 = 0
-3 + 6mn + -9m2n3 = 0 + -6mn + 6mn + 9m2n3 + -9m2n3
-3 + 6mn + -9m2n3 = -6mn + 6mn + 9m2n3 + -9m2n3

Combine like terms: -6mn + 6mn = 0
-3 + 6mn + -9m2n3 = 0 + 9m2n3 + -9m2n3
-3 + 6mn + -9m2n3 = 9m2n3 + -9m2n3

Combine like terms: 9m2n3 + -9m2n3 = 0
-3 + 6mn + -9m2n3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 2mn + -3m2n3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + 2mn + -3m2n3)' equal to zero and attempt to solve: Simplifying -1 + 2mn + -3m2n3 = 0 Solving -1 + 2mn + -3m2n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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