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Simplifying 24a2 + -20a = 0 Reorder the terms: -20a + 24a2 = 0 Solving -20a + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-5 + 6a) = 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 '(-5 + 6a)' equal to zero and attempt to solve: Simplifying -5 + 6a = 0 Solving -5 + 6a = 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 + 6a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 0 + 5 6a = 0 + 5 Combine like terms: 0 + 5 = 5 6a = 5 Divide each side by '6'. a = 0.8333333333 Simplifying a = 0.8333333333Solution
a = {0, 0.8333333333}
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