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Simplifying 38a = -1a2 Solving 38a = -1a2 Solving for variable 'a'. Combine like terms: -1a2 + a2 = 0 38a + a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(38 + a) = 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 '(38 + a)' equal to zero and attempt to solve: Simplifying 38 + a = 0 Solving 38 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + a = 0 + -38 Combine like terms: 38 + -38 = 0 0 + a = 0 + -38 a = 0 + -38 Combine like terms: 0 + -38 = -38 a = -38 Simplifying a = -38Solution
a = {0, -38}
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