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

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

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

Multiply 2 * 3
(6 + -1a)(3 + b)(3 + c) = 0

Multiply (6 + -1a) * (3 + b)
(6(3 + b) + -1a * (3 + b))(3 + c) = 0
((3 * 6 + b * 6) + -1a * (3 + b))(3 + c) = 0
((18 + 6b) + -1a * (3 + b))(3 + c) = 0
(18 + 6b + (3 * -1a + b * -1a))(3 + c) = 0
(18 + 6b + (-3a + -1ab))(3 + c) = 0

Reorder the terms:
(18 + -3a + -1ab + 6b)(3 + c) = 0
(18 + -3a + -1ab + 6b)(3 + c) = 0

Multiply (18 + -3a + -1ab + 6b) * (3 + c)
(18(3 + c) + -3a * (3 + c) + -1ab * (3 + c) + 6b * (3 + c)) = 0
((3 * 18 + c * 18) + -3a * (3 + c) + -1ab * (3 + c) + 6b * (3 + c)) = 0
((54 + 18c) + -3a * (3 + c) + -1ab * (3 + c) + 6b * (3 + c)) = 0
(54 + 18c + (3 * -3a + c * -3a) + -1ab * (3 + c) + 6b * (3 + c)) = 0
(54 + 18c + (-9a + -3ac) + -1ab * (3 + c) + 6b * (3 + c)) = 0
(54 + 18c + -9a + -3ac + (3 * -1ab + c * -1ab) + 6b * (3 + c)) = 0
(54 + 18c + -9a + -3ac + (-3ab + -1abc) + 6b * (3 + c)) = 0
(54 + 18c + -9a + -3ac + -3ab + -1abc + (3 * 6b + c * 6b)) = 0
(54 + 18c + -9a + -3ac + -3ab + -1abc + (18b + 6bc)) = 0

Reorder the terms:
(54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c) = 0
(54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c) = 0

Solving
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0

Solving for variable 'a'.

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

Add '-54' to each side of the equation.
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + -54 + 18c = 0 + -54

Reorder the terms:
54 + -54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0 + -54
-9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0 + -54

Combine like terms: 0 + -54 = -54
-9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = -54

Add '-18b' to each side of the equation.
-9a + -3ab + -1abc + -3ac + 18b + 6bc + -18b + 18c = -54 + -18b

Reorder the terms:
-9a + -3ab + -1abc + -3ac + 18b + -18b + 6bc + 18c = -54 + -18b

Combine like terms: 18b + -18b = 0
-9a + -3ab + -1abc + -3ac + 0 + 6bc + 18c = -54 + -18b
-9a + -3ab + -1abc + -3ac + 6bc + 18c = -54 + -18b

Add '-6bc' to each side of the equation.
-9a + -3ab + -1abc + -3ac + 6bc + -6bc + 18c = -54 + -18b + -6bc

Combine like terms: 6bc + -6bc = 0
-9a + -3ab + -1abc + -3ac + 0 + 18c = -54 + -18b + -6bc
-9a + -3ab + -1abc + -3ac + 18c = -54 + -18b + -6bc

Add '-18c' to each side of the equation.
-9a + -3ab + -1abc + -3ac + 18c + -18c = -54 + -18b + -6bc + -18c

Combine like terms: 18c + -18c = 0
-9a + -3ab + -1abc + -3ac + 0 = -54 + -18b + -6bc + -18c
-9a + -3ab + -1abc + -3ac = -54 + -18b + -6bc + -18c

Reorder the terms:
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = -54 + -18b + -6bc + -18c + 54 + 18b + 6bc + 18c

Reorder the terms:
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = -54 + 54 + -18b + 18b + -6bc + 6bc + -18c + 18c

Combine like terms: -54 + 54 = 0
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0 + -18b + 18b + -6bc + 6bc + -18c + 18c
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = -18b + 18b + -6bc + 6bc + -18c + 18c

Combine like terms: -18b + 18b = 0
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0 + -6bc + 6bc + -18c + 18c
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = -6bc + 6bc + -18c + 18c

Combine like terms: -6bc + 6bc = 0
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0 + -18c + 18c
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = -18c + 18c

Combine like terms: -18c + 18c = 0
54 + -9a + -3ab + -1abc + -3ac + 18b + 6bc + 18c = 0

The solution to this equation could not be determined.