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Simplifying 4a + 24a2 = 108a Solving 4a + 24a2 = 108a Solving for variable 'a'. Reorder the terms: 4a + -108a + 24a2 = 108a + -108a Combine like terms: 4a + -108a = -104a -104a + 24a2 = 108a + -108a Combine like terms: 108a + -108a = 0 -104a + 24a2 = 0 Factor out the Greatest Common Factor (GCF), '8a'. 8a(-13 + 3a) = 0 Ignore the factor 8.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 '(-13 + 3a)' equal to zero and attempt to solve: Simplifying -13 + 3a = 0 Solving -13 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3a = 0 + 13 3a = 0 + 13 Combine like terms: 0 + 13 = 13 3a = 13 Divide each side by '3'. a = 4.333333333 Simplifying a = 4.333333333Solution
a = {0, 4.333333333}
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