(a-1)(b+2)(c-3)=0

Solution for (a-1)(b+2)(c-3)=0 equation:

Simplifying
(a + -1)(b + 2)(c + -3) = 0

Reorder the terms:
(-1 + a)(b + 2)(c + -3) = 0

Reorder the terms:
(-1 + a)(2 + b)(c + -3) = 0

Reorder the terms:
(-1 + a)(2 + b)(-3 + c) = 0

Multiply (-1 + a) * (2 + b)
(-1(2 + b) + a(2 + b))(-3 + c) = 0
((2 * -1 + b * -1) + a(2 + b))(-3 + c) = 0
((-2 + -1b) + a(2 + b))(-3 + c) = 0
(-2 + -1b + (2 * a + b * a))(-3 + c) = 0
(-2 + -1b + (2a + ab))(-3 + c) = 0

Reorder the terms:
(-2 + 2a + ab + -1b)(-3 + c) = 0
(-2 + 2a + ab + -1b)(-3 + c) = 0

Multiply (-2 + 2a + ab + -1b) * (-3 + c)
(-2(-3 + c) + 2a * (-3 + c) + ab(-3 + c) + -1b * (-3 + c)) = 0
((-3 * -2 + c * -2) + 2a * (-3 + c) + ab(-3 + c) + -1b * (-3 + c)) = 0
((6 + -2c) + 2a * (-3 + c) + ab(-3 + c) + -1b * (-3 + c)) = 0
(6 + -2c + (-3 * 2a + c * 2a) + ab(-3 + c) + -1b * (-3 + c)) = 0
(6 + -2c + (-6a + 2ac) + ab(-3 + c) + -1b * (-3 + c)) = 0
(6 + -2c + -6a + 2ac + (-3 * ab + c * ab) + -1b * (-3 + c)) = 0
(6 + -2c + -6a + 2ac + (-3ab + abc) + -1b * (-3 + c)) = 0
(6 + -2c + -6a + 2ac + -3ab + abc + (-3 * -1b + c * -1b)) = 0
(6 + -2c + -6a + 2ac + -3ab + abc + (3b + -1bc)) = 0

Reorder the terms:
(6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c) = 0
(6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c) = 0

Solving
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -6 + -2c = 0 + -6

Reorder the terms:
6 + -6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0 + -6
-6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0 + -6

Combine like terms: 0 + -6 = -6
-6a + -3ab + abc + 2ac + 3b + -1bc + -2c = -6

Add '-3b' to each side of the equation.
-6a + -3ab + abc + 2ac + 3b + -1bc + -3b + -2c = -6 + -3b

Reorder the terms:
-6a + -3ab + abc + 2ac + 3b + -3b + -1bc + -2c = -6 + -3b

Combine like terms: 3b + -3b = 0
-6a + -3ab + abc + 2ac + 0 + -1bc + -2c = -6 + -3b
-6a + -3ab + abc + 2ac + -1bc + -2c = -6 + -3b

Add 'bc' to each side of the equation.
-6a + -3ab + abc + 2ac + -1bc + bc + -2c = -6 + -3b + bc

Combine like terms: -1bc + bc = 0
-6a + -3ab + abc + 2ac + 0 + -2c = -6 + -3b + bc
-6a + -3ab + abc + 2ac + -2c = -6 + -3b + bc

Add '2c' to each side of the equation.
-6a + -3ab + abc + 2ac + -2c + 2c = -6 + -3b + bc + 2c

Combine like terms: -2c + 2c = 0
-6a + -3ab + abc + 2ac + 0 = -6 + -3b + bc + 2c
-6a + -3ab + abc + 2ac = -6 + -3b + bc + 2c

Reorder the terms:
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = -6 + -3b + bc + 2c + 6 + 3b + -1bc + -2c

Reorder the terms:
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = -6 + 6 + -3b + 3b + bc + -1bc + 2c + -2c

Combine like terms: -6 + 6 = 0
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0 + -3b + 3b + bc + -1bc + 2c + -2c
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = -3b + 3b + bc + -1bc + 2c + -2c

Combine like terms: -3b + 3b = 0
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0 + bc + -1bc + 2c + -2c
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = bc + -1bc + 2c + -2c

Combine like terms: bc + -1bc = 0
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0 + 2c + -2c
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 2c + -2c

Combine like terms: 2c + -2c = 0
6 + -6a + -3ab + abc + 2ac + 3b + -1bc + -2c = 0

The solution to this equation could not be determined.