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Simplifying 8a2 + -24a2 + -4032a = 0 Reorder the terms: -4032a + 8a2 + -24a2 = 0 Combine like terms: 8a2 + -24a2 = -16a2 -4032a + -16a2 = 0 Solving -4032a + -16a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-16a'. -16a(252 + a) = 0 Ignore the factor -16.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 '(252 + a)' equal to zero and attempt to solve: Simplifying 252 + a = 0 Solving 252 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-252' to each side of the equation. 252 + -252 + a = 0 + -252 Combine like terms: 252 + -252 = 0 0 + a = 0 + -252 a = 0 + -252 Combine like terms: 0 + -252 = -252 a = -252 Simplifying a = -252Solution
a = {0, -252}
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