(a-z)(a-2z)(a+z)=0

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Solution for (a-z)(a-2z)(a+z)=0 equation:


Simplifying
(a + -1z)(a + -2z)(a + z) = 0

Multiply (a + -1z) * (a + -2z)
(a(a + -2z) + -1z * (a + -2z))(a + z) = 0
((a * a + -2z * a) + -1z * (a + -2z))(a + z) = 0

Reorder the terms:
((-2az + a2) + -1z * (a + -2z))(a + z) = 0
((-2az + a2) + -1z * (a + -2z))(a + z) = 0
(-2az + a2 + (a * -1z + -2z * -1z))(a + z) = 0
(-2az + a2 + (-1az + 2z2))(a + z) = 0

Reorder the terms:
(-2az + -1az + a2 + 2z2)(a + z) = 0

Combine like terms: -2az + -1az = -3az
(-3az + a2 + 2z2)(a + z) = 0

Multiply (-3az + a2 + 2z2) * (a + z)
(-3az * (a + z) + a2(a + z) + 2z2 * (a + z)) = 0
((a * -3az + z * -3az) + a2(a + z) + 2z2 * (a + z)) = 0

Reorder the terms:
((-3az2 + -3a2z) + a2(a + z) + 2z2 * (a + z)) = 0
((-3az2 + -3a2z) + a2(a + z) + 2z2 * (a + z)) = 0
(-3az2 + -3a2z + (a * a2 + z * a2) + 2z2 * (a + z)) = 0

Reorder the terms:
(-3az2 + -3a2z + (a2z + a3) + 2z2 * (a + z)) = 0
(-3az2 + -3a2z + (a2z + a3) + 2z2 * (a + z)) = 0
(-3az2 + -3a2z + a2z + a3 + (a * 2z2 + z * 2z2)) = 0
(-3az2 + -3a2z + a2z + a3 + (2az2 + 2z3)) = 0

Reorder the terms:
(-3az2 + 2az2 + -3a2z + a2z + a3 + 2z3) = 0

Combine like terms: -3az2 + 2az2 = -1az2
(-1az2 + -3a2z + a2z + a3 + 2z3) = 0

Combine like terms: -3a2z + a2z = -2a2z
(-1az2 + -2a2z + a3 + 2z3) = 0

Solving
-1az2 + -2a2z + a3 + 2z3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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