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Simplifying (5a + 17)(4a) = 0 Reorder the terms: (17 + 5a)(4a) = 0 Remove parenthesis around (4a) (17 + 5a) * 4a = 0 Reorder the terms for easier multiplication: 4a(17 + 5a) = 0 (17 * 4a + 5a * 4a) = 0 (68a + 20a2) = 0 Solving 68a + 20a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(17 + 5a) = 0 Ignore the factor 4.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 '(17 + 5a)' equal to zero and attempt to solve: Simplifying 17 + 5a = 0 Solving 17 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5a = 0 + -17 5a = 0 + -17 Combine like terms: 0 + -17 = -17 5a = -17 Divide each side by '5'. a = -3.4 Simplifying a = -3.4Solution
a = {0, -3.4}
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