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Simplifying a5 + -9a = 0 Reorder the terms: -9a + a5 = 0 Solving -9a + a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-9 + a4) = 0 Factor a difference between two squares. a((3 + a2)(-3 + a2)) = 0Subproblem 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 '(3 + a2)' equal to zero and attempt to solve: Simplifying 3 + a2 = 0 Solving 3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a2 = 0 + -3 a2 = 0 + -3 Combine like terms: 0 + -3 = -3 a2 = -3 Simplifying a2 = -3 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 '(-3 + a2)' equal to zero and attempt to solve: Simplifying -3 + a2 = 0 Solving -3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a2 = 0 + 3 a2 = 0 + 3 Combine like terms: 0 + 3 = 3 a2 = 3 Simplifying a2 = 3 Take the square root of each side: a = {-1.732050808, 1.732050808}Solution
a = {0, -1.732050808, 1.732050808}
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