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Simplifying 6a5(8a2 + 5a) = 0 Reorder the terms: 6a5(5a + 8a2) = 0 (5a * 6a5 + 8a2 * 6a5) = 0 (30a6 + 48a7) = 0 Solving 30a6 + 48a7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a6'. 6a6(5 + 8a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a6' equal to zero and attempt to solve: Simplifying a6 = 0 Solving a6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 8a)' equal to zero and attempt to solve: Simplifying 5 + 8a = 0 Solving 5 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 0 + -5 8a = 0 + -5 Combine like terms: 0 + -5 = -5 8a = -5 Divide each side by '8'. a = -0.625 Simplifying a = -0.625Solution
a = {-0.625}
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