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Simplifying 324a4b + -4a2b = 0 Reorder the terms: -4a2b + 324a4b = 0 Solving -4a2b + 324a4b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2b'. 4a2b(-1 + 81a2) = 0 Factor a difference between two squares. 4a2b((1 + 9a)(-1 + 9a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 + 9a)' equal to zero and attempt to solve: Simplifying 1 + 9a = 0 Solving 1 + 9a = 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 + 9a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9a = 0 + -1 9a = 0 + -1 Combine like terms: 0 + -1 = -1 9a = -1 Divide each side by '9'. a = -0.1111111111 Simplifying a = -0.1111111111Subproblem 3
Set the factor '(-1 + 9a)' equal to zero and attempt to solve: Simplifying -1 + 9a = 0 Solving -1 + 9a = 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 + 9a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9a = 0 + 1 9a = 0 + 1 Combine like terms: 0 + 1 = 1 9a = 1 Divide each side by '9'. a = 0.1111111111 Simplifying a = 0.1111111111Solution
a = {-0.1111111111, 0.1111111111}
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