(3z+7y)(3z+7y)(3z+7y)=0

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Solution for (3z+7y)(3z+7y)(3z+7y)=0 equation: 


Simplifying
(3z + 7y)(3z + 7y)(3z + 7y) = 0

Reorder the terms:
(7y + 3z)(3z + 7y)(3z + 7y) = 0

Reorder the terms:
(7y + 3z)(7y + 3z)(3z + 7y) = 0

Reorder the terms:
(7y + 3z)(7y + 3z)(7y + 3z) = 0

Multiply (7y + 3z) * (7y + 3z)
(7y * (7y + 3z) + 3z * (7y + 3z))(7y + 3z) = 0
((7y * 7y + 3z * 7y) + 3z * (7y + 3z))(7y + 3z) = 0

Reorder the terms:
((21yz + 49y2) + 3z * (7y + 3z))(7y + 3z) = 0
((21yz + 49y2) + 3z * (7y + 3z))(7y + 3z) = 0
(21yz + 49y2 + (7y * 3z + 3z * 3z))(7y + 3z) = 0
(21yz + 49y2 + (21yz + 9z2))(7y + 3z) = 0

Reorder the terms:
(21yz + 21yz + 49y2 + 9z2)(7y + 3z) = 0

Combine like terms: 21yz + 21yz = 42yz
(42yz + 49y2 + 9z2)(7y + 3z) = 0

Multiply (42yz + 49y2 + 9z2) * (7y + 3z)
(42yz * (7y + 3z) + 49y2 * (7y + 3z) + 9z2 * (7y + 3z)) = 0
((7y * 42yz + 3z * 42yz) + 49y2 * (7y + 3z) + 9z2 * (7y + 3z)) = 0

Reorder the terms:
((126yz2 + 294y2z) + 49y2 * (7y + 3z) + 9z2 * (7y + 3z)) = 0
((126yz2 + 294y2z) + 49y2 * (7y + 3z) + 9z2 * (7y + 3z)) = 0
(126yz2 + 294y2z + (7y * 49y2 + 3z * 49y2) + 9z2 * (7y + 3z)) = 0

Reorder the terms:
(126yz2 + 294y2z + (147y2z + 343y3) + 9z2 * (7y + 3z)) = 0
(126yz2 + 294y2z + (147y2z + 343y3) + 9z2 * (7y + 3z)) = 0
(126yz2 + 294y2z + 147y2z + 343y3 + (7y * 9z2 + 3z * 9z2)) = 0
(126yz2 + 294y2z + 147y2z + 343y3 + (63yz2 + 27z3)) = 0

Reorder the terms:
(126yz2 + 63yz2 + 294y2z + 147y2z + 343y3 + 27z3) = 0

Combine like terms: 126yz2 + 63yz2 = 189yz2
(189yz2 + 294y2z + 147y2z + 343y3 + 27z3) = 0

Combine like terms: 294y2z + 147y2z = 441y2z
(189yz2 + 441y2z + 343y3 + 27z3) = 0

Solving
189yz2 + 441y2z + 343y3 + 27z3 = 0

Solving for variable 'y'.

The solution to this equation could not be determined.

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