(a+z)(a+4z)(a-4z)=0

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Solution for (a+z)(a+4z)(a-4z)=0 equation: 


Simplifying
(a + z)(a + 4z)(a + -4z) = 0

Multiply (a + z) * (a + 4z)
(a(a + 4z) + z(a + 4z))(a + -4z) = 0
((a * a + 4z * a) + z(a + 4z))(a + -4z) = 0

Reorder the terms:
((4az + a2) + z(a + 4z))(a + -4z) = 0
((4az + a2) + z(a + 4z))(a + -4z) = 0
(4az + a2 + (a * z + 4z * z))(a + -4z) = 0
(4az + a2 + (az + 4z2))(a + -4z) = 0

Reorder the terms:
(4az + az + a2 + 4z2)(a + -4z) = 0

Combine like terms: 4az + az = 5az
(5az + a2 + 4z2)(a + -4z) = 0

Multiply (5az + a2 + 4z2) * (a + -4z)
(5az * (a + -4z) + a2(a + -4z) + 4z2 * (a + -4z)) = 0
((a * 5az + -4z * 5az) + a2(a + -4z) + 4z2 * (a + -4z)) = 0

Reorder the terms:
((-20az2 + 5a2z) + a2(a + -4z) + 4z2 * (a + -4z)) = 0
((-20az2 + 5a2z) + a2(a + -4z) + 4z2 * (a + -4z)) = 0
(-20az2 + 5a2z + (a * a2 + -4z * a2) + 4z2 * (a + -4z)) = 0

Reorder the terms:
(-20az2 + 5a2z + (-4a2z + a3) + 4z2 * (a + -4z)) = 0
(-20az2 + 5a2z + (-4a2z + a3) + 4z2 * (a + -4z)) = 0
(-20az2 + 5a2z + -4a2z + a3 + (a * 4z2 + -4z * 4z2)) = 0
(-20az2 + 5a2z + -4a2z + a3 + (4az2 + -16z3)) = 0

Reorder the terms:
(-20az2 + 4az2 + 5a2z + -4a2z + a3 + -16z3) = 0

Combine like terms: -20az2 + 4az2 = -16az2
(-16az2 + 5a2z + -4a2z + a3 + -16z3) = 0

Combine like terms: 5a2z + -4a2z = 1a2z
(-16az2 + 1a2z + a3 + -16z3) = 0

Solving
-16az2 + 1a2z + a3 + -16z3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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