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Simplifying 3ab2 + -48a = 0 Reorder the terms: -48a + 3ab2 = 0 Solving -48a + 3ab2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-16 + b2) = 0 Factor a difference between two squares. 3a((4 + b)(-4 + b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Add '-1b' to each side of the equation. b + -1b = -4 + -1b Combine like terms: b + -1b = 0 0 = -4 + -1b Simplifying 0 = -4 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-4 + b)' equal to zero and attempt to solve: Simplifying -4 + b = 0 Solving -4 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + b = 0 + 4 b = 0 + 4 Combine like terms: 0 + 4 = 4 b = 4 Add '-1b' to each side of the equation. b + -1b = 4 + -1b Combine like terms: b + -1b = 0 0 = 4 + -1b Simplifying 0 = 4 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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