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Simplifying 3a2 + 2a + 5a2 + 3a = 0 Reorder the terms: 2a + 3a + 3a2 + 5a2 = 0 Combine like terms: 2a + 3a = 5a 5a + 3a2 + 5a2 = 0 Combine like terms: 3a2 + 5a2 = 8a2 5a + 8a2 = 0 Solving 5a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(5 + 8a) = 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 '(5 + 8a)' equal to zero and attempt to solve: Simplifying 5 + 8a = 0 Solving 5 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 0 + -5 8a = 0 + -5 Combine like terms: 0 + -5 = -5 8a = -5 Divide each side by '8'. a = -0.625 Simplifying a = -0.625Solution
a = {0, -0.625}
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