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Simplifying a2 + 49a = 0 Reorder the terms: 49a + a2 = 0 Solving 49a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(49 + 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 '(49 + a)' equal to zero and attempt to solve: Simplifying 49 + a = 0 Solving 49 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + a = 0 + -49 Combine like terms: 49 + -49 = 0 0 + a = 0 + -49 a = 0 + -49 Combine like terms: 0 + -49 = -49 a = -49 Simplifying a = -49Solution
a = {0, -49}
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