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Simplifying 2a3 + 8a2 + -64a2 = 0 Reorder the terms: 8a2 + -64a2 + 2a3 = 0 Combine like terms: 8a2 + -64a2 = -56a2 -56a2 + 2a3 = 0 Solving -56a2 + 2a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a2'. 2a2(-28 + a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-28 + a)' equal to zero and attempt to solve: Simplifying -28 + a = 0 Solving -28 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + a = 0 + 28 Combine like terms: -28 + 28 = 0 0 + a = 0 + 28 a = 0 + 28 Combine like terms: 0 + 28 = 28 a = 28 Simplifying a = 28Solution
a = {0, 28}
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