(3z+1)(4z+1)(6z+1)(12z+1)=2

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Solution for (3z+1)(4z+1)(6z+1)(12z+1)=2 equation:


Simplifying
(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2

Reorder the terms:
(1 + 3z)(4z + 1)(6z + 1)(12z + 1) = 2

Reorder the terms:
(1 + 3z)(1 + 4z)(6z + 1)(12z + 1) = 2

Reorder the terms:
(1 + 3z)(1 + 4z)(1 + 6z)(12z + 1) = 2

Reorder the terms:
(1 + 3z)(1 + 4z)(1 + 6z)(1 + 12z) = 2

Multiply (1 + 3z) * (1 + 4z)
(1(1 + 4z) + 3z * (1 + 4z))(1 + 6z)(1 + 12z) = 2
((1 * 1 + 4z * 1) + 3z * (1 + 4z))(1 + 6z)(1 + 12z) = 2
((1 + 4z) + 3z * (1 + 4z))(1 + 6z)(1 + 12z) = 2
(1 + 4z + (1 * 3z + 4z * 3z))(1 + 6z)(1 + 12z) = 2
(1 + 4z + (3z + 12z2))(1 + 6z)(1 + 12z) = 2

Combine like terms: 4z + 3z = 7z
(1 + 7z + 12z2)(1 + 6z)(1 + 12z) = 2

Multiply (1 + 7z + 12z2) * (1 + 6z)
(1(1 + 6z) + 7z * (1 + 6z) + 12z2 * (1 + 6z))(1 + 12z) = 2
((1 * 1 + 6z * 1) + 7z * (1 + 6z) + 12z2 * (1 + 6z))(1 + 12z) = 2
((1 + 6z) + 7z * (1 + 6z) + 12z2 * (1 + 6z))(1 + 12z) = 2
(1 + 6z + (1 * 7z + 6z * 7z) + 12z2 * (1 + 6z))(1 + 12z) = 2
(1 + 6z + (7z + 42z2) + 12z2 * (1 + 6z))(1 + 12z) = 2
(1 + 6z + 7z + 42z2 + (1 * 12z2 + 6z * 12z2))(1 + 12z) = 2
(1 + 6z + 7z + 42z2 + (12z2 + 72z3))(1 + 12z) = 2

Combine like terms: 6z + 7z = 13z
(1 + 13z + 42z2 + 12z2 + 72z3)(1 + 12z) = 2

Combine like terms: 42z2 + 12z2 = 54z2
(1 + 13z + 54z2 + 72z3)(1 + 12z) = 2

Multiply (1 + 13z + 54z2 + 72z3) * (1 + 12z)
(1(1 + 12z) + 13z * (1 + 12z) + 54z2 * (1 + 12z) + 72z3 * (1 + 12z)) = 2
((1 * 1 + 12z * 1) + 13z * (1 + 12z) + 54z2 * (1 + 12z) + 72z3 * (1 + 12z)) = 2
((1 + 12z) + 13z * (1 + 12z) + 54z2 * (1 + 12z) + 72z3 * (1 + 12z)) = 2
(1 + 12z + (1 * 13z + 12z * 13z) + 54z2 * (1 + 12z) + 72z3 * (1 + 12z)) = 2
(1 + 12z + (13z + 156z2) + 54z2 * (1 + 12z) + 72z3 * (1 + 12z)) = 2
(1 + 12z + 13z + 156z2 + (1 * 54z2 + 12z * 54z2) + 72z3 * (1 + 12z)) = 2
(1 + 12z + 13z + 156z2 + (54z2 + 648z3) + 72z3 * (1 + 12z)) = 2
(1 + 12z + 13z + 156z2 + 54z2 + 648z3 + (1 * 72z3 + 12z * 72z3)) = 2
(1 + 12z + 13z + 156z2 + 54z2 + 648z3 + (72z3 + 864z4)) = 2

Combine like terms: 12z + 13z = 25z
(1 + 25z + 156z2 + 54z2 + 648z3 + 72z3 + 864z4) = 2

Combine like terms: 156z2 + 54z2 = 210z2
(1 + 25z + 210z2 + 648z3 + 72z3 + 864z4) = 2

Combine like terms: 648z3 + 72z3 = 720z3
(1 + 25z + 210z2 + 720z3 + 864z4) = 2

Solving
1 + 25z + 210z2 + 720z3 + 864z4 = 2

Solving for variable 'z'.

Reorder the terms:
1 + -2 + 25z + 210z2 + 720z3 + 864z4 = 2 + -2

Combine like terms: 1 + -2 = -1
-1 + 25z + 210z2 + 720z3 + 864z4 = 2 + -2

Combine like terms: 2 + -2 = 0
-1 + 25z + 210z2 + 720z3 + 864z4 = 0

The solution to this equation could not be determined.

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