6a^2b^2c^2d+2acd^2=equation

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Solution for 6a^2b^2c^2d+2acd^2=equation equation: 


Simplifying
6a2b2c2d + 2acd2 = equation

Reorder the terms:
2acd2 + 6a2b2c2d = equation

Solving
2acd2 + 6a2b2c2d = aeinoqtu

Solving for variable 'a'.

Reorder the terms:
2acd2 + -1aeinoqtu + 6a2b2c2d = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
2acd2 + -1aeinoqtu + 6a2b2c2d = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(2cd2 + -1einoqtu + 6ab2c2d) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(2cd2 + -1einoqtu + 6ab2c2d)' equal to zero and attempt to solve:

Simplifying
2cd2 + -1einoqtu + 6ab2c2d = 0

Reorder the terms:
6ab2c2d + 2cd2 + -1einoqtu = 0

Solving
6ab2c2d + 2cd2 + -1einoqtu = 0

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

Add '-2cd2' to each side of the equation.
6ab2c2d + 2cd2 + -2cd2 + -1einoqtu = 0 + -2cd2

Combine like terms: 2cd2 + -2cd2 = 0
6ab2c2d + 0 + -1einoqtu = 0 + -2cd2
6ab2c2d + -1einoqtu = 0 + -2cd2
Remove the zero:
6ab2c2d + -1einoqtu = -2cd2

Add 'einoqtu' to each side of the equation.
6ab2c2d + -1einoqtu + einoqtu = -2cd2 + einoqtu

Combine like terms: -1einoqtu + einoqtu = 0
6ab2c2d + 0 = -2cd2 + einoqtu
6ab2c2d = -2cd2 + einoqtu

Divide each side by '6b2c2d'.
a = -0.3333333333b-2c-1d + 0.1666666667b-2c-2d-1einoqtu

Simplifying
a = -0.3333333333b-2c-1d + 0.1666666667b-2c-2d-1einoqtu

Reorder the terms:
a = 0.1666666667b-2c-2d-1einoqtu + -0.3333333333b-2c-1d
Solution
a = {0, 0.1666666667b-2c-2d-1einoqtu + -0.3333333333b-2c-1d}

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