(z+4)(z^2-4z+16)=0

Solution for (z+4)(z^2-4z+16)=0 equation:

Simplifying
(z + 4)(z2 + -4z + 16) = 0

Reorder the terms:
(4 + z)(z2 + -4z + 16) = 0

Reorder the terms:
(4 + z)(16 + -4z + z2) = 0

Multiply (4 + z) * (16 + -4z + z2)
(4(16 + -4z + z2) + z(16 + -4z + z2)) = 0
((16 * 4 + -4z * 4 + z2 * 4) + z(16 + -4z + z2)) = 0
((64 + -16z + 4z2) + z(16 + -4z + z2)) = 0
(64 + -16z + 4z2 + (16 * z + -4z * z + z2 * z)) = 0
(64 + -16z + 4z2 + (16z + -4z2 + z3)) = 0

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

Combine like terms: -16z + 16z = 0
(64 + 0 + 4z2 + -4z2 + z3) = 0
(64 + 4z2 + -4z2 + z3) = 0

Combine like terms: 4z2 + -4z2 = 0
(64 + 0 + z3) = 0
(64 + z3) = 0

Solving
64 + z3 = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-64' to each side of the equation.
64 + -64 + z3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + z3 = 0 + -64
z3 = 0 + -64

Combine like terms: 0 + -64 = -64
z3 = -64

Simplifying
z3 = -64

Reorder the terms:
64 + z3 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + z3 = 0

The solution to this equation could not be determined.