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Simplifying a2 + 25a = 0 Reorder the terms: 25a + a2 = 0 Solving 25a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(25 + a) = 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 + a)' equal to zero and attempt to solve: Simplifying 25 + a = 0 Solving 25 + a = 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 + a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + a = 0 + -25 a = 0 + -25 Combine like terms: 0 + -25 = -25 a = -25 Simplifying a = -25Solution
a = {0, -25}
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