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Simplifying 15a2 + -50a = 0 Reorder the terms: -50a + 15a2 = 0 Solving -50a + 15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-10 + 3a) = 0 Ignore the factor 5.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 '(-10 + 3a)' equal to zero and attempt to solve: Simplifying -10 + 3a = 0 Solving -10 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = 0 + 10 3a = 0 + 10 Combine like terms: 0 + 10 = 10 3a = 10 Divide each side by '3'. a = 3.333333333 Simplifying a = 3.333333333Solution
a = {0, 3.333333333}
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