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Simplifying a3b5 = a7b5 Solving a3b5 = a7b5 Solving for variable 'a'. Combine like terms: a7b5 + -1a7b5 = 0 a3b5 + -1a7b5 = 0 Factor out the Greatest Common Factor (GCF), 'a3b5'. a3b5(1 + -1a4) = 0 Factor a difference between two squares. a3b5((1 + a2)(1 + -1a2)) = 0 Factor a difference between two squares. a3b5((1 + a2)((1 + a)(1 + -1a))) = 0Subproblem 1
Set the factor 'a3b5' equal to zero and attempt to solve: Simplifying a3b5 = 0 Solving a3b5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b5 = 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 + a2)' equal to zero and attempt to solve: Simplifying 1 + a2 = 0 Solving 1 + a2 = 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 + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a2 = 0 + -1 a2 = 0 + -1 Combine like terms: 0 + -1 = -1 a2 = -1 Simplifying a2 = -1 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 + 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 4
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {-1, 1}
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