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Simplifying (5a)(a + 8) = 0 Remove parenthesis around (5a) 5a(a + 8) = 0 Reorder the terms: 5a(8 + a) = 0 (8 * 5a + a * 5a) = 0 (40a + 5a2) = 0 Solving 40a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(8 + a) = 0 Ignore the factor 5.Subproblem 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 '(8 + a)' equal to zero and attempt to solve: Simplifying 8 + a = 0 Solving 8 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a = 0 + -8 a = 0 + -8 Combine like terms: 0 + -8 = -8 a = -8 Simplifying a = -8Solution
a = {0, -8}
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