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Simplifying 48a5b + -3ab = 0 Reorder the terms: -3ab + 48a5b = 0 Solving -3ab + 48a5b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(-1 + 16a4) = 0 Factor a difference between two squares. 3ab((1 + 4a2)(-1 + 4a2)) = 0 Factor a difference between two squares. 3ab((1 + 4a2)((1 + 2a)(-1 + 2a))) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 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 '(1 + 4a2)' equal to zero and attempt to solve: Simplifying 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 '(1 + 2a)' equal to zero and attempt to solve: Simplifying 1 + 2a = 0 Solving 1 + 2a = 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 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5Subproblem 4
Set the factor '(-1 + 2a)' equal to zero and attempt to solve: Simplifying -1 + 2a = 0 Solving -1 + 2a = 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 + 2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 0 + 1 2a = 0 + 1 Combine like terms: 0 + 1 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5Solution
a = {-0.5, 0.5}
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