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Simplifying 10a3 + 7a + 1a = 0 Reorder the terms: 7a + 1a + 10a3 = 0 Combine like terms: 7a + 1a = 8a 8a + 10a3 = 0 Solving 8a + 10a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(4 + 5a2) = 0 Ignore the factor 2.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 '(4 + 5a2)' equal to zero and attempt to solve: Simplifying 4 + 5a2 = 0 Solving 4 + 5a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a2 = 0 + -4 5a2 = 0 + -4 Combine like terms: 0 + -4 = -4 5a2 = -4 Divide each side by '5'. a2 = -0.8 Simplifying a2 = -0.8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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