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Simplifying 48a4b + 24a2b + 3b = 0 Reorder the terms: 24a2b + 48a4b + 3b = 0 Solving 24a2b + 48a4b + 3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(8a2 + 16a4 + 1) = 0 Factor a trinomial. 3b((4a2 + 1)(4a2 + 1)) = 0 Ignore the factor 3.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 '(4a2 + 1)' equal to zero and attempt to solve: Simplifying 4a2 + 1 = 0 Reorder the terms: 1 + 4a2 = 0 Solving 1 + 4a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a2 = 0 + -1 4a2 = 0 + -1 Combine like terms: 0 + -1 = -1 4a2 = -1 Divide each side by '4'. a2 = -0.25 Simplifying a2 = -0.25 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 '(4a2 + 1)' equal to zero and attempt to solve: Simplifying 4a2 + 1 = 0 Reorder the terms: 1 + 4a2 = 0 Solving 1 + 4a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a2 = 0 + -1 4a2 = 0 + -1 Combine like terms: 0 + -1 = -1 4a2 = -1 Divide each side by '4'. a2 = -0.25 Simplifying a2 = -0.25 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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