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Simplifying 65a2 + 40a = 0 Reorder the terms: 40a + 65a2 = 0 Solving 40a + 65a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(8 + 13a) = 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 + 13a)' equal to zero and attempt to solve: Simplifying 8 + 13a = 0 Solving 8 + 13a = 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 + 13a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13a = 0 + -8 13a = 0 + -8 Combine like terms: 0 + -8 = -8 13a = -8 Divide each side by '13'. a = -0.6153846154 Simplifying a = -0.6153846154Solution
a = {0, -0.6153846154}
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