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Simplifying 20a2 + 3a2 + -60a = 0 Reorder the terms: -60a + 20a2 + 3a2 = 0 Combine like terms: 20a2 + 3a2 = 23a2 -60a + 23a2 = 0 Solving -60a + 23a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-60 + 23a) = 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 '(-60 + 23a)' equal to zero and attempt to solve: Simplifying -60 + 23a = 0 Solving -60 + 23a = 0 Move all terms containing a to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 23a = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 23a = 0 + 60 23a = 0 + 60 Combine like terms: 0 + 60 = 60 23a = 60 Divide each side by '23'. a = 2.608695652 Simplifying a = 2.608695652Solution
a = {0, 2.608695652}
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