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Simplifying 5a2 + 20a + 20 = 0 Reorder the terms: 20 + 20a + 5a2 = 0 Solving 20 + 20a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 4a + a2) = 0 Factor a trinomial. 5((2 + a)(2 + a)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-2, -2}
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