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Simplifying 2a2 = 24a Solving 2a2 = 24a Solving for variable 'a'. Reorder the terms: -24a + 2a2 = 24a + -24a Combine like terms: 24a + -24a = 0 -24a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2a'. 2a(-12 + 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 '(-12 + a)' equal to zero and attempt to solve: Simplifying -12 + a = 0 Solving -12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + a = 0 + 12 a = 0 + 12 Combine like terms: 0 + 12 = 12 a = 12 Simplifying a = 12Solution
a = {0, 12}
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