m^6-n^6=0

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Solution for m^6-n^6=0 equation:


Simplifying
m6 + -1n6 = 0

Solving
m6 + -1n6 = 0

Solving for variable 'm'.

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

Add 'n6' to each side of the equation.
m6 + -1n6 + n6 = 0 + n6

Combine like terms: -1n6 + n6 = 0
m6 + 0 = 0 + n6
m6 = 0 + n6
Remove the zero:
m6 = n6

Simplifying
m6 = n6

Combine like terms: n6 + -1n6 = 0
m6 + -1n6 = 0

Factor a difference between two squares.
(m3 + n3)(m3 + -1n3) = 0

Subproblem 1

Set the factor '(m3 + n3)' equal to zero and attempt to solve: Simplifying m3 + n3 = 0 Solving m3 + n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n3' to each side of the equation. m3 + n3 + -1n3 = 0 + -1n3 Combine like terms: n3 + -1n3 = 0 m3 + 0 = 0 + -1n3 m3 = 0 + -1n3 Remove the zero: m3 = -1n3 Simplifying m3 = -1n3 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 '(m3 + -1n3)' equal to zero and attempt to solve: Simplifying m3 + -1n3 = 0 Solving m3 + -1n3 = 0 Move all terms containing m to the left, all other terms to the right. Add 'n3' to each side of the equation. m3 + -1n3 + n3 = 0 + n3 Combine like terms: -1n3 + n3 = 0 m3 + 0 = 0 + n3 m3 = 0 + n3 Remove the zero: m3 = n3 Simplifying m3 = n3 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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