36m^4-12m^2+1=am^4+bm+1

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Solution for 36m^4-12m^2+1=am^4+bm+1 equation: 


Simplifying
36m4 + -12m2 + 1 = am4 + bm + 1

Reorder the terms:
1 + -12m2 + 36m4 = am4 + bm + 1

Reorder the terms:
1 + -12m2 + 36m4 = 1 + am4 + bm

Add '-1' to each side of the equation.
1 + -12m2 + -1 + 36m4 = 1 + am4 + -1 + bm

Reorder the terms:
1 + -1 + -12m2 + 36m4 = 1 + am4 + -1 + bm

Combine like terms: 1 + -1 = 0
0 + -12m2 + 36m4 = 1 + am4 + -1 + bm
-12m2 + 36m4 = 1 + am4 + -1 + bm

Reorder the terms:
-12m2 + 36m4 = 1 + -1 + am4 + bm

Combine like terms: 1 + -1 = 0
-12m2 + 36m4 = 0 + am4 + bm
-12m2 + 36m4 = am4 + bm

Solving
-12m2 + 36m4 = am4 + bm

Solving for variable 'm'.

Reorder the terms:
-1am4 + -1bm + -12m2 + 36m4 = am4 + bm + -1am4 + -1bm

Reorder the terms:
-1am4 + -1bm + -12m2 + 36m4 = am4 + -1am4 + bm + -1bm

Combine like terms: am4 + -1am4 = 0
-1am4 + -1bm + -12m2 + 36m4 = 0 + bm + -1bm
-1am4 + -1bm + -12m2 + 36m4 = bm + -1bm

Combine like terms: bm + -1bm = 0
-1am4 + -1bm + -12m2 + 36m4 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-1am3 + -1b + -12m + 36m3) = 0


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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-1am3 + -1b + -12m + 36m3)' equal to zero and attempt to solve:

Simplifying
-1am3 + -1b + -12m + 36m3 = 0

Solving
-1am3 + -1b + -12m + 36m3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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