6(5z+3w)2(9z+9w)+12w=

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Solution for 6(5z+3w)2(9z+9w)+12w= equation: 


Simplifying
6(5z + 3w) * 2(9z + 9w) + 12w = 0

Reorder the terms:
6(3w + 5z) * 2(9z + 9w) + 12w = 0

Reorder the terms:
6(3w + 5z) * 2(9w + 9z) + 12w = 0

Reorder the terms for easier multiplication:
6 * 2(3w + 5z)(9w + 9z) + 12w = 0

Multiply 6 * 2
12(3w + 5z)(9w + 9z) + 12w = 0

Multiply (3w + 5z) * (9w + 9z)
12(3w * (9w + 9z) + 5z * (9w + 9z)) + 12w = 0
12((9w * 3w + 9z * 3w) + 5z * (9w + 9z)) + 12w = 0

Reorder the terms:
12((27wz + 27w2) + 5z * (9w + 9z)) + 12w = 0
12((27wz + 27w2) + 5z * (9w + 9z)) + 12w = 0
12(27wz + 27w2 + (9w * 5z + 9z * 5z)) + 12w = 0
12(27wz + 27w2 + (45wz + 45z2)) + 12w = 0

Reorder the terms:
12(27wz + 45wz + 27w2 + 45z2) + 12w = 0

Combine like terms: 27wz + 45wz = 72wz
12(72wz + 27w2 + 45z2) + 12w = 0
(72wz * 12 + 27w2 * 12 + 45z2 * 12) + 12w = 0
(864wz + 324w2 + 540z2) + 12w = 0

Reorder the terms:
12w + 864wz + 324w2 + 540z2 = 0

Solving
12w + 864wz + 324w2 + 540z2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '12'.
12(w + 72wz + 27w2 + 45z2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(w + 72wz + 27w2 + 45z2)' equal to zero and attempt to solve:

Simplifying
w + 72wz + 27w2 + 45z2 = 0

Solving
w + 72wz + 27w2 + 45z2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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