(9z-a)(z-2)(z+2)=0

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Solution for (9z-a)(z-2)(z+2)=0 equation: 


Simplifying
(9z + -1a)(z + -2)(z + 2) = 0

Reorder the terms:
(-1a + 9z)(z + -2)(z + 2) = 0

Reorder the terms:
(-1a + 9z)(-2 + z)(z + 2) = 0

Reorder the terms:
(-1a + 9z)(-2 + z)(2 + z) = 0

Multiply (-1a + 9z) * (-2 + z)
(-1a * (-2 + z) + 9z * (-2 + z))(2 + z) = 0
((-2 * -1a + z * -1a) + 9z * (-2 + z))(2 + z) = 0
((2a + -1az) + 9z * (-2 + z))(2 + z) = 0
(2a + -1az + (-2 * 9z + z * 9z))(2 + z) = 0
(2a + -1az + (-18z + 9z2))(2 + z) = 0
(2a + -1az + -18z + 9z2)(2 + z) = 0

Multiply (2a + -1az + -18z + 9z2) * (2 + z)
(2a * (2 + z) + -1az * (2 + z) + -18z * (2 + z) + 9z2 * (2 + z)) = 0
((2 * 2a + z * 2a) + -1az * (2 + z) + -18z * (2 + z) + 9z2 * (2 + z)) = 0
((4a + 2az) + -1az * (2 + z) + -18z * (2 + z) + 9z2 * (2 + z)) = 0
(4a + 2az + (2 * -1az + z * -1az) + -18z * (2 + z) + 9z2 * (2 + z)) = 0
(4a + 2az + (-2az + -1az2) + -18z * (2 + z) + 9z2 * (2 + z)) = 0
(4a + 2az + -2az + -1az2 + (2 * -18z + z * -18z) + 9z2 * (2 + z)) = 0
(4a + 2az + -2az + -1az2 + (-36z + -18z2) + 9z2 * (2 + z)) = 0
(4a + 2az + -2az + -1az2 + -36z + -18z2 + (2 * 9z2 + z * 9z2)) = 0
(4a + 2az + -2az + -1az2 + -36z + -18z2 + (18z2 + 9z3)) = 0

Combine like terms: 2az + -2az = 0
(4a + 0 + -1az2 + -36z + -18z2 + 18z2 + 9z3) = 0
(4a + -1az2 + -36z + -18z2 + 18z2 + 9z3) = 0

Combine like terms: -18z2 + 18z2 = 0
(4a + -1az2 + -36z + 0 + 9z3) = 0
(4a + -1az2 + -36z + 9z3) = 0

Solving
4a + -1az2 + -36z + 9z3 = 0

Solving for variable 'a'.

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

Add '36z' to each side of the equation.
4a + -1az2 + -36z + 36z + 9z3 = 0 + 36z

Combine like terms: -36z + 36z = 0
4a + -1az2 + 0 + 9z3 = 0 + 36z
4a + -1az2 + 9z3 = 0 + 36z
Remove the zero:
4a + -1az2 + 9z3 = 36z

Add '-9z3' to each side of the equation.
4a + -1az2 + 9z3 + -9z3 = 36z + -9z3

Combine like terms: 9z3 + -9z3 = 0
4a + -1az2 + 0 = 36z + -9z3
4a + -1az2 = 36z + -9z3

Reorder the terms:
4a + -1az2 + -36z + 9z3 = 36z + -36z + -9z3 + 9z3

Combine like terms: 36z + -36z = 0
4a + -1az2 + -36z + 9z3 = 0 + -9z3 + 9z3
4a + -1az2 + -36z + 9z3 = -9z3 + 9z3

Combine like terms: -9z3 + 9z3 = 0
4a + -1az2 + -36z + 9z3 = 0

The solution to this equation could not be determined.

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