(z^2+5*z+8)(z*2+2*z+6)=

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Solution for (z^2+5*z+8)(z*2+2*z+6)= equation:


Simplifying
(z2 + 5z + 8)(z * 2 + 2z + 6) = 0

Reorder the terms:
(8 + 5z + z2)(z * 2 + 2z + 6) = 0

Reorder the terms for easier multiplication:
(8 + 5z + z2)(2z + 2z + 6) = 0

Reorder the terms:
(8 + 5z + z2)(6 + 2z + 2z) = 0

Combine like terms: 2z + 2z = 4z
(8 + 5z + z2)(6 + 4z) = 0

Multiply (8 + 5z + z2) * (6 + 4z)
(8(6 + 4z) + 5z * (6 + 4z) + z2(6 + 4z)) = 0
((6 * 8 + 4z * 8) + 5z * (6 + 4z) + z2(6 + 4z)) = 0
((48 + 32z) + 5z * (6 + 4z) + z2(6 + 4z)) = 0
(48 + 32z + (6 * 5z + 4z * 5z) + z2(6 + 4z)) = 0
(48 + 32z + (30z + 20z2) + z2(6 + 4z)) = 0
(48 + 32z + 30z + 20z2 + (6 * z2 + 4z * z2)) = 0
(48 + 32z + 30z + 20z2 + (6z2 + 4z3)) = 0

Combine like terms: 32z + 30z = 62z
(48 + 62z + 20z2 + 6z2 + 4z3) = 0

Combine like terms: 20z2 + 6z2 = 26z2
(48 + 62z + 26z2 + 4z3) = 0

Solving
48 + 62z + 26z2 + 4z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 31z + 13z2 + 2z3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(24 + 31z + 13z2 + 2z3)' equal to zero and attempt to solve: Simplifying 24 + 31z + 13z2 + 2z3 = 0 Solving 24 + 31z + 13z2 + 2z3 = 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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