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Simplifying 5a(14a + 9) = 0 Reorder the terms: 5a(9 + 14a) = 0 (9 * 5a + 14a * 5a) = 0 (45a + 70a2) = 0 Solving 45a + 70a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(9 + 14a) = 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 '(9 + 14a)' equal to zero and attempt to solve: Simplifying 9 + 14a = 0 Solving 9 + 14a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14a = 0 + -9 14a = 0 + -9 Combine like terms: 0 + -9 = -9 14a = -9 Divide each side by '14'. a = -0.6428571429 Simplifying a = -0.6428571429Solution
a = {0, -0.6428571429}
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