0=(z-3)(z-3)(z-3)

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Solution for 0=(z-3)(z-3)(z-3) equation:


Simplifying
0 = (z + -3)(z + -3)(z + -3)

Reorder the terms:
0 = (-3 + z)(z + -3)(z + -3)

Reorder the terms:
0 = (-3 + z)(-3 + z)(z + -3)

Reorder the terms:
0 = (-3 + z)(-3 + z)(-3 + z)

Multiply (-3 + z) * (-3 + z)
0 = (-3(-3 + z) + z(-3 + z))(-3 + z)
0 = ((-3 * -3 + z * -3) + z(-3 + z))(-3 + z)
0 = ((9 + -3z) + z(-3 + z))(-3 + z)
0 = (9 + -3z + (-3 * z + z * z))(-3 + z)
0 = (9 + -3z + (-3z + z2))(-3 + z)

Combine like terms: -3z + -3z = -6z
0 = (9 + -6z + z2)(-3 + z)

Multiply (9 + -6z + z2) * (-3 + z)
0 = (9(-3 + z) + -6z * (-3 + z) + z2(-3 + z))
0 = ((-3 * 9 + z * 9) + -6z * (-3 + z) + z2(-3 + z))
0 = ((-27 + 9z) + -6z * (-3 + z) + z2(-3 + z))
0 = (-27 + 9z + (-3 * -6z + z * -6z) + z2(-3 + z))
0 = (-27 + 9z + (18z + -6z2) + z2(-3 + z))
0 = (-27 + 9z + 18z + -6z2 + (-3 * z2 + z * z2))
0 = (-27 + 9z + 18z + -6z2 + (-3z2 + z3))

Combine like terms: 9z + 18z = 27z
0 = (-27 + 27z + -6z2 + -3z2 + z3)

Combine like terms: -6z2 + -3z2 = -9z2
0 = (-27 + 27z + -9z2 + z3)

Solving
0 = -27 + 27z + -9z2 + z3

Solving for variable 'z'.

Combine like terms: 0 + 27 = 27
27 + -27z + 9z2 + -1z3 = -27 + 27z + -9z2 + z3 + 27 + -27z + 9z2 + -1z3

Reorder the terms:
27 + -27z + 9z2 + -1z3 = -27 + 27 + 27z + -27z + -9z2 + 9z2 + z3 + -1z3

Combine like terms: -27 + 27 = 0
27 + -27z + 9z2 + -1z3 = 0 + 27z + -27z + -9z2 + 9z2 + z3 + -1z3
27 + -27z + 9z2 + -1z3 = 27z + -27z + -9z2 + 9z2 + z3 + -1z3

Combine like terms: 27z + -27z = 0
27 + -27z + 9z2 + -1z3 = 0 + -9z2 + 9z2 + z3 + -1z3
27 + -27z + 9z2 + -1z3 = -9z2 + 9z2 + z3 + -1z3

Combine like terms: -9z2 + 9z2 = 0
27 + -27z + 9z2 + -1z3 = 0 + z3 + -1z3
27 + -27z + 9z2 + -1z3 = z3 + -1z3

Combine like terms: z3 + -1z3 = 0
27 + -27z + 9z2 + -1z3 = 0

The solution to this equation could not be determined.

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