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Simplifying (8a2) + -25a = 0 Reorder the terms: -25a + (8a2) = 0 Solving -25a + (8a2) = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-25 + (8a)) = 0Subproblem 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 '(-25 + (8a))' equal to zero and attempt to solve: Simplifying -25 + (8a) = 0 Solving -25 + (8a) = 0 Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + (8a) = 0 + 25 Combine like terms: -25 + 25 = 0 0 + (8a) = 0 + 25 (8a) = 0 + 25 Combine like terms: 0 + 25 = 25 (8a) = 25 Divide each side by '8'. a = 3.125 Simplifying a = 3.125Solution
a = {0, 3.125}
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