(a+1)(b+1)(c+1)=0

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


Simplifying
(a + 1)(b + 1)(c + 1) = 0

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

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

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

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

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

Multiply (1 + 1a + ab + 1b) * (1 + c)
(1(1 + c) + 1a * (1 + c) + ab(1 + c) + 1b * (1 + c)) = 0
((1 * 1 + c * 1) + 1a * (1 + c) + ab(1 + c) + 1b * (1 + c)) = 0
((1 + 1c) + 1a * (1 + c) + ab(1 + c) + 1b * (1 + c)) = 0
(1 + 1c + (1 * 1a + c * 1a) + ab(1 + c) + 1b * (1 + c)) = 0
(1 + 1c + (1a + 1ac) + ab(1 + c) + 1b * (1 + c)) = 0
(1 + 1c + 1a + 1ac + (1 * ab + c * ab) + 1b * (1 + c)) = 0
(1 + 1c + 1a + 1ac + (1ab + abc) + 1b * (1 + c)) = 0
(1 + 1c + 1a + 1ac + 1ab + abc + (1 * 1b + c * 1b)) = 0
(1 + 1c + 1a + 1ac + 1ab + abc + (1b + 1bc)) = 0

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

Solving
1 + 1a + 1ab + abc + 1ac + 1b + 1bc + 1c = 0

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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