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Simplifying 8a3(4a5 + 2a) = 0 Reorder the terms: 8a3(2a + 4a5) = 0 (2a * 8a3 + 4a5 * 8a3) = 0 (16a4 + 32a8) = 0 Solving 16a4 + 32a8 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '16a4'. 16a4(1 + 2a4) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'a4' equal to zero and attempt to solve: Simplifying a4 = 0 Solving a4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4 = 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 '(1 + 2a4)' equal to zero and attempt to solve: Simplifying 1 + 2a4 = 0 Solving 1 + 2a4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a4 = 0 + -1 2a4 = 0 + -1 Combine like terms: 0 + -1 = -1 2a4 = -1 Divide each side by '2'. a4 = -0.5 Simplifying a4 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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