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Simplifying 2a2 + -48a = 0 Reorder the terms: -48a + 2a2 = 0 Solving -48a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-24 + a) = 0 Ignore the factor 2.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 '(-24 + a)' equal to zero and attempt to solve: Simplifying -24 + a = 0 Solving -24 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + a = 0 + 24 a = 0 + 24 Combine like terms: 0 + 24 = 24 a = 24 Simplifying a = 24Solution
a = {0, 24}
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