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Simplifying 2abc + 8bc + 8ab = 0 Reorder the terms: 8ab + 2abc + 8bc = 0 Solving 8ab + 2abc + 8bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8bc' to each side of the equation. 8ab + 2abc + 8bc + -8bc = 0 + -8bc Combine like terms: 8bc + -8bc = 0 8ab + 2abc + 0 = 0 + -8bc 8ab + 2abc = 0 + -8bc Remove the zero: 8ab + 2abc = -8bc Combine like terms: -8bc + 8bc = 0 8ab + 2abc + 8bc = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(4a + ac + 4c) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4a + ac + 4c)' equal to zero and attempt to solve: Simplifying 4a + ac + 4c = 0 Solving 4a + ac + 4c = 0 Move all terms containing a to the left, all other terms to the right. Add '-4c' to each side of the equation. 4a + ac + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 4a + ac + 0 = 0 + -4c 4a + ac = 0 + -4c Remove the zero: 4a + ac = -4c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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