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Simplifying 100a2 + 1600a + 6400 = 0 Reorder the terms: 6400 + 1600a + 100a2 = 0 Solving 6400 + 1600a + 100a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '100'. 100(64 + 16a + a2) = 0 Factor a trinomial. 100((8 + a)(8 + a)) = 0 Ignore the factor 100.Subproblem 1
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 = -8Subproblem 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 = {-8, -8}
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