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Simplifying 24a2 + 21a = 0 Reorder the terms: 21a + 24a2 = 0 Solving 21a + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(7 + 8a) = 0 Ignore the factor 3.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 '(7 + 8a)' equal to zero and attempt to solve: Simplifying 7 + 8a = 0 Solving 7 + 8a = 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 + 8a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = 0 + -7 8a = 0 + -7 Combine like terms: 0 + -7 = -7 8a = -7 Divide each side by '8'. a = -0.875 Simplifying a = -0.875Solution
a = {0, -0.875}
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