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Simplifying 4a2 + 40a2 + 96a = 0 Reorder the terms: 96a + 4a2 + 40a2 = 0 Combine like terms: 4a2 + 40a2 = 44a2 96a + 44a2 = 0 Solving 96a + 44a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(24 + 11a) = 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 '(24 + 11a)' equal to zero and attempt to solve: Simplifying 24 + 11a = 0 Solving 24 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 11a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 11a = 0 + -24 11a = 0 + -24 Combine like terms: 0 + -24 = -24 11a = -24 Divide each side by '11'. a = -2.181818182 Simplifying a = -2.181818182Solution
a = {0, -2.181818182}
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