6a^2x^2-24b^2x^2-5a^2y^3+20b^2y^3-15c^2y^3+2a^2z^2-8b^2z^2+6c^2z^2=0

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Solution for 6a^2x^2-24b^2x^2-5a^2y^3+20b^2y^3-15c^2y^3+2a^2z^2-8b^2z^2+6c^2z^2=0 equation: 


Simplifying
6a2x2 + -24b2x2 + -5a2y3 + 20b2y3 + -15c2y3 + 2a2z2 + -8b2z2 + 6c2z2 = 0

Reorder the terms:
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0

Solving
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0

Solving for variable 'a'.

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

Add '24b2x2' to each side of the equation.
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 24b2x2 + 6c2z2 = 0 + 24b2x2

Reorder the terms:
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + 24b2x2

Combine like terms: -24b2x2 + 24b2x2 = 0
6a2x2 + -5a2y3 + 2a2z2 + 0 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + 24b2x2
6a2x2 + -5a2y3 + 2a2z2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + 24b2x2
Remove the zero:
6a2x2 + -5a2y3 + 2a2z2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 24b2x2

Add '-20b2y3' to each side of the equation.
6a2x2 + -5a2y3 + 2a2z2 + 20b2y3 + -8b2z2 + -15c2y3 + -20b2y3 + 6c2z2 = 24b2x2 + -20b2y3

Reorder the terms:
6a2x2 + -5a2y3 + 2a2z2 + 20b2y3 + -20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 24b2x2 + -20b2y3

Combine like terms: 20b2y3 + -20b2y3 = 0
6a2x2 + -5a2y3 + 2a2z2 + 0 + -8b2z2 + -15c2y3 + 6c2z2 = 24b2x2 + -20b2y3
6a2x2 + -5a2y3 + 2a2z2 + -8b2z2 + -15c2y3 + 6c2z2 = 24b2x2 + -20b2y3

Add '8b2z2' to each side of the equation.
6a2x2 + -5a2y3 + 2a2z2 + -8b2z2 + -15c2y3 + 8b2z2 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2

Reorder the terms:
6a2x2 + -5a2y3 + 2a2z2 + -8b2z2 + 8b2z2 + -15c2y3 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2

Combine like terms: -8b2z2 + 8b2z2 = 0
6a2x2 + -5a2y3 + 2a2z2 + 0 + -15c2y3 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2
6a2x2 + -5a2y3 + 2a2z2 + -15c2y3 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2

Add '15c2y3' to each side of the equation.
6a2x2 + -5a2y3 + 2a2z2 + -15c2y3 + 15c2y3 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2 + 15c2y3

Combine like terms: -15c2y3 + 15c2y3 = 0
6a2x2 + -5a2y3 + 2a2z2 + 0 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2 + 15c2y3
6a2x2 + -5a2y3 + 2a2z2 + 6c2z2 = 24b2x2 + -20b2y3 + 8b2z2 + 15c2y3

Add '-6c2z2' to each side of the equation.
6a2x2 + -5a2y3 + 2a2z2 + 6c2z2 + -6c2z2 = 24b2x2 + -20b2y3 + 8b2z2 + 15c2y3 + -6c2z2

Combine like terms: 6c2z2 + -6c2z2 = 0
6a2x2 + -5a2y3 + 2a2z2 + 0 = 24b2x2 + -20b2y3 + 8b2z2 + 15c2y3 + -6c2z2
6a2x2 + -5a2y3 + 2a2z2 = 24b2x2 + -20b2y3 + 8b2z2 + 15c2y3 + -6c2z2

Reorder the terms:
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 24b2x2 + -24b2x2 + -20b2y3 + 20b2y3 + 8b2z2 + -8b2z2 + 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2

Combine like terms: 24b2x2 + -24b2x2 = 0
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + -20b2y3 + 20b2y3 + 8b2z2 + -8b2z2 + 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = -20b2y3 + 20b2y3 + 8b2z2 + -8b2z2 + 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2

Combine like terms: -20b2y3 + 20b2y3 = 0
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + 8b2z2 + -8b2z2 + 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 8b2z2 + -8b2z2 + 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2

Combine like terms: 8b2z2 + -8b2z2 = 0
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 15c2y3 + -15c2y3 + -6c2z2 + 6c2z2

Combine like terms: 15c2y3 + -15c2y3 = 0
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0 + -6c2z2 + 6c2z2
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = -6c2z2 + 6c2z2

Combine like terms: -6c2z2 + 6c2z2 = 0
6a2x2 + -5a2y3 + 2a2z2 + -24b2x2 + 20b2y3 + -8b2z2 + -15c2y3 + 6c2z2 = 0

The solution to this equation could not be determined.

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