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Simplifying (a5 + -1a) = (a3 + -1a) Reorder the terms: (-1a + a5) = (a3 + -1a) Remove parenthesis around (-1a + a5) -1a + a5 = (a3 + -1a) Reorder the terms: -1a + a5 = (-1a + a3) Remove parenthesis around (-1a + a3) -1a + a5 = -1a + a3 Add 'a' to each side of the equation. -1a + a + a5 = -1a + a + a3 Combine like terms: -1a + a = 0 0 + a5 = -1a + a + a3 a5 = -1a + a + a3 Combine like terms: -1a + a = 0 a5 = 0 + a3 a5 = a3 Solving a5 = a3 Solving for variable 'a'. Reorder the terms: -1a3 + a5 = a3 + -1a3 Combine like terms: a3 + -1a3 = 0 -1a3 + a5 = 0 Factor out the Greatest Common Factor (GCF), 'a3'. a3(-1 + a2) = 0 Factor a difference between two squares. a3((1 + a)(-1 + a)) = 0Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 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 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Subproblem 3
Set the factor '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 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 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1Solution
a = {-1, 1}
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