(z^3+2z^2-8z+2)(z^2+2z-8)=0

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Solution for (z^3+2z^2-8z+2)(z^2+2z-8)=0 equation: 


Simplifying
(z3 + 2z2 + -8z + 2)(z2 + 2z + -8) = 0

Reorder the terms:
(2 + -8z + 2z2 + z3)(z2 + 2z + -8) = 0

Reorder the terms:
(2 + -8z + 2z2 + z3)(-8 + 2z + z2) = 0

Multiply (2 + -8z + 2z2 + z3) * (-8 + 2z + z2)
(2(-8 + 2z + z2) + -8z * (-8 + 2z + z2) + 2z2 * (-8 + 2z + z2) + z3(-8 + 2z + z2)) = 0
((-8 * 2 + 2z * 2 + z2 * 2) + -8z * (-8 + 2z + z2) + 2z2 * (-8 + 2z + z2) + z3(-8 + 2z + z2)) = 0
((-16 + 4z + 2z2) + -8z * (-8 + 2z + z2) + 2z2 * (-8 + 2z + z2) + z3(-8 + 2z + z2)) = 0
(-16 + 4z + 2z2 + (-8 * -8z + 2z * -8z + z2 * -8z) + 2z2 * (-8 + 2z + z2) + z3(-8 + 2z + z2)) = 0
(-16 + 4z + 2z2 + (64z + -16z2 + -8z3) + 2z2 * (-8 + 2z + z2) + z3(-8 + 2z + z2)) = 0
(-16 + 4z + 2z2 + 64z + -16z2 + -8z3 + (-8 * 2z2 + 2z * 2z2 + z2 * 2z2) + z3(-8 + 2z + z2)) = 0
(-16 + 4z + 2z2 + 64z + -16z2 + -8z3 + (-16z2 + 4z3 + 2z4) + z3(-8 + 2z + z2)) = 0
(-16 + 4z + 2z2 + 64z + -16z2 + -8z3 + -16z2 + 4z3 + 2z4 + (-8 * z3 + 2z * z3 + z2 * z3)) = 0
(-16 + 4z + 2z2 + 64z + -16z2 + -8z3 + -16z2 + 4z3 + 2z4 + (-8z3 + 2z4 + z5)) = 0

Reorder the terms:
(-16 + 4z + 64z + 2z2 + -16z2 + -16z2 + -8z3 + 4z3 + -8z3 + 2z4 + 2z4 + z5) = 0

Combine like terms: 4z + 64z = 68z
(-16 + 68z + 2z2 + -16z2 + -16z2 + -8z3 + 4z3 + -8z3 + 2z4 + 2z4 + z5) = 0

Combine like terms: 2z2 + -16z2 = -14z2
(-16 + 68z + -14z2 + -16z2 + -8z3 + 4z3 + -8z3 + 2z4 + 2z4 + z5) = 0

Combine like terms: -14z2 + -16z2 = -30z2
(-16 + 68z + -30z2 + -8z3 + 4z3 + -8z3 + 2z4 + 2z4 + z5) = 0

Combine like terms: -8z3 + 4z3 = -4z3
(-16 + 68z + -30z2 + -4z3 + -8z3 + 2z4 + 2z4 + z5) = 0

Combine like terms: -4z3 + -8z3 = -12z3
(-16 + 68z + -30z2 + -12z3 + 2z4 + 2z4 + z5) = 0

Combine like terms: 2z4 + 2z4 = 4z4
(-16 + 68z + -30z2 + -12z3 + 4z4 + z5) = 0

Solving
-16 + 68z + -30z2 + -12z3 + 4z4 + z5 = 0

Solving for variable 'z'.

The solution to this equation could not be determined.

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