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Simplifying 7a2 = -84 + -56a Solving 7a2 = -84 + -56a Solving for variable 'a'. Reorder the terms: 84 + 56a + 7a2 = -84 + -56a + 84 + 56a Reorder the terms: 84 + 56a + 7a2 = -84 + 84 + -56a + 56a Combine like terms: -84 + 84 = 0 84 + 56a + 7a2 = 0 + -56a + 56a 84 + 56a + 7a2 = -56a + 56a Combine like terms: -56a + 56a = 0 84 + 56a + 7a2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(12 + 8a + a2) = 0 Factor a trinomial. 7((6 + a)(2 + a)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(6 + a)' equal to zero and attempt to solve: Simplifying 6 + a = 0 Solving 6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a = 0 + -6 a = 0 + -6 Combine like terms: 0 + -6 = -6 a = -6 Simplifying a = -6Subproblem 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 = {-6, -2}
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