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Simplifying 4a2 + 24a + -8 = -8 Reorder the terms: -8 + 24a + 4a2 = -8 Add '8' to each side of the equation. -8 + 24a + 8 + 4a2 = -8 + 8 Reorder the terms: -8 + 8 + 24a + 4a2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + 24a + 4a2 = -8 + 8 24a + 4a2 = -8 + 8 Combine like terms: -8 + 8 = 0 24a + 4a2 = 0 Solving 24a + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(6 + a) = 0 Ignore the factor 4.Subproblem 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 '(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 = {0, -6}
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