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Simplifying 5a2 = 40a Solving 5a2 = 40a Solving for variable 'a'. Reorder the terms: -40a + 5a2 = 40a + -40a Combine like terms: 40a + -40a = 0 -40a + 5a2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-8 + a) = 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 '(-8 + a)' equal to zero and attempt to solve: Simplifying -8 + a = 0 Solving -8 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a = 0 + 8 a = 0 + 8 Combine like terms: 0 + 8 = 8 a = 8 Simplifying a = 8Solution
a = {0, 8}
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