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Simplifying 7a2 + 336 = -98a Reorder the terms: 336 + 7a2 = -98a Solving 336 + 7a2 = -98a Solving for variable 'a'. Reorder the terms: 336 + 98a + 7a2 = -98a + 98a Combine like terms: -98a + 98a = 0 336 + 98a + 7a2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(48 + 14a + a2) = 0 Factor a trinomial. 7((8 + a)(6 + a)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(8 + a)' equal to zero and attempt to solve: Simplifying 8 + a = 0 Solving 8 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a = 0 + -8 a = 0 + -8 Combine like terms: 0 + -8 = -8 a = -8 Simplifying a = -8Subproblem 2
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 = -6Solution
a = {-8, -6}
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