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Simplifying 5a2 + 95a + 420 = 0 Reorder the terms: 420 + 95a + 5a2 = 0 Solving 420 + 95a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5'. 5(84 + 19a + a2) = 0 Factor a trinomial. 5((12 + a)(7 + a)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(12 + a)' equal to zero and attempt to solve: Simplifying 12 + a = 0 Solving 12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a = 0 + -12 a = 0 + -12 Combine like terms: 0 + -12 = -12 a = -12 Simplifying a = -12Subproblem 2
Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Solution
a = {-12, -7}
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