M^5-m^4-2m^3+2m^2+m-1=0

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Solution for M^5-m^4-2m^3+2m^2+m-1=0 equation: 


Simplifying
M5 + -1m4 + -2m3 + 2m2 + m + -1 = 0

Reorder the terms:
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0

Solving
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0

Solving for variable 'M'.

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

Add '1' to each side of the equation.
-1 + M5 + m + 2m2 + -2m3 + 1 + -1m4 = 0 + 1

Reorder the terms:
-1 + 1 + M5 + m + 2m2 + -2m3 + -1m4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + M5 + m + 2m2 + -2m3 + -1m4 = 0 + 1
M5 + m + 2m2 + -2m3 + -1m4 = 0 + 1

Combine like terms: 0 + 1 = 1
M5 + m + 2m2 + -2m3 + -1m4 = 1

Add '-1m' to each side of the equation.
M5 + m + 2m2 + -2m3 + -1m + -1m4 = 1 + -1m

Reorder the terms:
M5 + m + -1m + 2m2 + -2m3 + -1m4 = 1 + -1m

Combine like terms: m + -1m = 0
M5 + 0 + 2m2 + -2m3 + -1m4 = 1 + -1m
M5 + 2m2 + -2m3 + -1m4 = 1 + -1m

Add '-2m2' to each side of the equation.
M5 + 2m2 + -2m3 + -2m2 + -1m4 = 1 + -1m + -2m2

Reorder the terms:
M5 + 2m2 + -2m2 + -2m3 + -1m4 = 1 + -1m + -2m2

Combine like terms: 2m2 + -2m2 = 0
M5 + 0 + -2m3 + -1m4 = 1 + -1m + -2m2
M5 + -2m3 + -1m4 = 1 + -1m + -2m2

Add '2m3' to each side of the equation.
M5 + -2m3 + 2m3 + -1m4 = 1 + -1m + -2m2 + 2m3

Combine like terms: -2m3 + 2m3 = 0
M5 + 0 + -1m4 = 1 + -1m + -2m2 + 2m3
M5 + -1m4 = 1 + -1m + -2m2 + 2m3

Add 'm4' to each side of the equation.
M5 + -1m4 + m4 = 1 + -1m + -2m2 + 2m3 + m4

Combine like terms: -1m4 + m4 = 0
M5 + 0 = 1 + -1m + -2m2 + 2m3 + m4
M5 = 1 + -1m + -2m2 + 2m3 + m4

Simplifying
M5 = 1 + -1m + -2m2 + 2m3 + m4

Reorder the terms:
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 1 + -1m + -2m2 + 2m3 + m4 + -1 + m + 2m2 + -2m3 + -1m4

Reorder the terms:
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 1 + -1 + -1m + m + -2m2 + 2m2 + 2m3 + -2m3 + m4 + -1m4

Combine like terms: 1 + -1 = 0
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0 + -1m + m + -2m2 + 2m2 + 2m3 + -2m3 + m4 + -1m4
-1 + M5 + m + 2m2 + -2m3 + -1m4 = -1m + m + -2m2 + 2m2 + 2m3 + -2m3 + m4 + -1m4

Combine like terms: -1m + m = 0
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0 + -2m2 + 2m2 + 2m3 + -2m3 + m4 + -1m4
-1 + M5 + m + 2m2 + -2m3 + -1m4 = -2m2 + 2m2 + 2m3 + -2m3 + m4 + -1m4

Combine like terms: -2m2 + 2m2 = 0
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0 + 2m3 + -2m3 + m4 + -1m4
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 2m3 + -2m3 + m4 + -1m4

Combine like terms: 2m3 + -2m3 = 0
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0 + m4 + -1m4
-1 + M5 + m + 2m2 + -2m3 + -1m4 = m4 + -1m4

Combine like terms: m4 + -1m4 = 0
-1 + M5 + m + 2m2 + -2m3 + -1m4 = 0

The solution to this equation could not be determined.

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