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Simplifying (a + b)(3ab + b) = 0 Multiply (a + b) * (3ab + b) (a(3ab + b) + b(3ab + b)) = 0 ((3ab * a + b * a) + b(3ab + b)) = 0 Reorder the terms: ((ab + 3a2b) + b(3ab + b)) = 0 ((ab + 3a2b) + b(3ab + b)) = 0 (ab + 3a2b + (3ab * b + b * b)) = 0 (ab + 3a2b + (3ab2 + b2)) = 0 Reorder the terms: (ab + 3ab2 + 3a2b + b2) = 0 (ab + 3ab2 + 3a2b + b2) = 0 Solving ab + 3ab2 + 3a2b + b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(a + 3ab + 3a2 + b) = 0Subproblem 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 '(a + 3ab + 3a2 + b)' equal to zero and attempt to solve: Simplifying a + 3ab + 3a2 + b = 0 Solving a + 3ab + 3a2 + b = 0 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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