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Simplifying a + 24a2 + 144a = 0 Reorder the terms: a + 144a + 24a2 = 0 Combine like terms: a + 144a = 145a 145a + 24a2 = 0 Solving 145a + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(145 + 24a) = 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 '(145 + 24a)' equal to zero and attempt to solve: Simplifying 145 + 24a = 0 Solving 145 + 24a = 0 Move all terms containing a to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + 24a = 0 + -145 Combine like terms: 145 + -145 = 0 0 + 24a = 0 + -145 24a = 0 + -145 Combine like terms: 0 + -145 = -145 24a = -145 Divide each side by '24'. a = -6.041666667 Simplifying a = -6.041666667Solution
a = {0, -6.041666667}
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