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Simplifying 8a3 = 200a Solving 8a3 = 200a Solving for variable 'a'. Reorder the terms: -200a + 8a3 = 200a + -200a Combine like terms: 200a + -200a = 0 -200a + 8a3 = 0 Factor out the Greatest Common Factor (GCF), '8a'. 8a(-25 + a2) = 0 Factor a difference between two squares. 8a((5 + a)(-5 + a)) = 0 Ignore the factor 8.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 '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Subproblem 3
Set the factor '(-5 + a)' equal to zero and attempt to solve: Simplifying -5 + a = 0 Solving -5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a = 0 + 5 a = 0 + 5 Combine like terms: 0 + 5 = 5 a = 5 Simplifying a = 5Solution
a = {0, -5, 5}
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