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Simplifying ta2 = -1a Solving a2t = -1a Solving for variable 'a'. Reorder the terms: a + a2t = -1a + a Combine like terms: -1a + a = 0 a + a2t = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(1 + at) = 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 '(1 + at)' equal to zero and attempt to solve: Simplifying 1 + at = 0 Solving 1 + at = 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 + at = 0 + -1 Combine like terms: 1 + -1 = 0 0 + at = 0 + -1 at = 0 + -1 Combine like terms: 0 + -1 = -1 at = -1 Divide each side by 't'. a = -1t-1 Simplifying a = -1t-1Solution
a = {0, -1t-1}
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