[(m^3+m)+(m^2+1)][(m^3+m)-(m^2+1)]=

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Solution for [(m^3+m)+(m^2+1)][(m^3+m)-(m^2+1)]= equation: 


Simplifying
[(m3 + m) + (m2 + 1)][(m3 + m) + -1(m2 + 1)] = 0

Reorder the terms:
[(m + m3) + (m2 + 1)][(m3 + m) + -1(m2 + 1)] = 0

Remove parenthesis around (m + m3)
[m + m3 + (m2 + 1)][(m3 + m) + -1(m2 + 1)] = 0

Reorder the terms:
[m + m3 + (1 + m2)][(m3 + m) + -1(m2 + 1)] = 0

Remove parenthesis around (1 + m2)
[m + m3 + 1 + m2][(m3 + m) + -1(m2 + 1)] = 0

Reorder the terms:
[1 + m + m2 + m3][(m3 + m) + -1(m2 + 1)] = 0

Reorder the terms:
[1 + m + m2 + m3][(m + m3) + -1(m2 + 1)] = 0

Remove parenthesis around (m + m3)
[1 + m + m2 + m3][m + m3 + -1(m2 + 1)] = 0

Reorder the terms:
[1 + m + m2 + m3][m + m3 + -1(1 + m2)] = 0
[1 + m + m2 + m3][m + m3 + (1 * -1 + m2 * -1)] = 0
[1 + m + m2 + m3][m + m3 + (-1 + -1m2)] = 0

Reorder the terms:
[1 + m + m2 + m3][-1 + m + -1m2 + m3] = 0

Multiply [1 + m + m2 + m3] * [-1 + m + -1m2 + m3]
[1[-1 + m + -1m2 + m3] + m[-1 + m + -1m2 + m3] + m2[-1 + m + -1m2 + m3] + m3[-1 + m + -1m2 + m3]] = 0
[[-1 * 1 + m * 1 + -1m2 * 1 + m3 * 1] + m[-1 + m + -1m2 + m3] + m2[-1 + m + -1m2 + m3] + m3[-1 + m + -1m2 + m3]] = 0
[[-1 + 1m + -1m2 + 1m3] + m[-1 + m + -1m2 + m3] + m2[-1 + m + -1m2 + m3] + m3[-1 + m + -1m2 + m3]] = 0
[-1 + 1m + -1m2 + 1m3 + [-1 * m + m * m + -1m2 * m + m3 * m] + m2[-1 + m + -1m2 + m3] + m3[-1 + m + -1m2 + m3]] = 0
[-1 + 1m + -1m2 + 1m3 + [-1m + m2 + -1m3 + m4] + m2[-1 + m + -1m2 + m3] + m3[-1 + m + -1m2 + m3]] = 0
[-1 + 1m + -1m2 + 1m3 + -1m + m2 + -1m3 + m4 + [-1 * m2 + m * m2 + -1m2 * m2 + m3 * m2] + m3[-1 + m + -1m2 + m3]] = 0
[-1 + 1m + -1m2 + 1m3 + -1m + m2 + -1m3 + m4 + [-1m2 + m3 + -1m4 + m5] + m3[-1 + m + -1m2 + m3]] = 0
[-1 + 1m + -1m2 + 1m3 + -1m + m2 + -1m3 + m4 + -1m2 + m3 + -1m4 + m5 + [-1 * m3 + m * m3 + -1m2 * m3 + m3 * m3]] = 0
[-1 + 1m + -1m2 + 1m3 + -1m + m2 + -1m3 + m4 + -1m2 + m3 + -1m4 + m5 + [-1m3 + m4 + -1m5 + m6]] = 0

Reorder the terms:
[-1 + 1m + -1m + -1m2 + m2 + -1m2 + 1m3 + -1m3 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0

Combine like terms: 1m + -1m = 0
[-1 + 0 + -1m2 + m2 + -1m2 + 1m3 + -1m3 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0
[-1 + -1m2 + m2 + -1m2 + 1m3 + -1m3 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0

Combine like terms: -1m2 + m2 = 0
[-1 + 0 + -1m2 + 1m3 + -1m3 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0
[-1 + -1m2 + 1m3 + -1m3 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0

Combine like terms: 1m3 + -1m3 = 0
[-1 + -1m2 + 0 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0
[-1 + -1m2 + m3 + -1m3 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0

Combine like terms: m3 + -1m3 = 0
[-1 + -1m2 + 0 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0
[-1 + -1m2 + m4 + -1m4 + m4 + m5 + -1m5 + m6] = 0

Combine like terms: m4 + -1m4 = 0
[-1 + -1m2 + 0 + m4 + m5 + -1m5 + m6] = 0
[-1 + -1m2 + m4 + m5 + -1m5 + m6] = 0

Combine like terms: m5 + -1m5 = 0
[-1 + -1m2 + m4 + 0 + m6] = 0
[-1 + -1m2 + m4 + m6] = 0

Solving
-1 + -1m2 + m4 + m6 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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