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Simplifying (7a3 + 5a) + -1(4a3 + 4a) = 0 Reorder the terms: (5a + 7a3) + -1(4a3 + 4a) = 0 Remove parenthesis around (5a + 7a3) 5a + 7a3 + -1(4a3 + 4a) = 0 Reorder the terms: 5a + 7a3 + -1(4a + 4a3) = 0 5a + 7a3 + (4a * -1 + 4a3 * -1) = 0 5a + 7a3 + (-4a + -4a3) = 0 Reorder the terms: 5a + -4a + 7a3 + -4a3 = 0 Combine like terms: 5a + -4a = 1a 1a + 7a3 + -4a3 = 0 Combine like terms: 7a3 + -4a3 = 3a3 1a + 3a3 = 0 Solving 1a + 3a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + 3a2) = 0Subproblem 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 '(1 + 3a2)' equal to zero and attempt to solve: Simplifying 1 + 3a2 = 0 Solving 1 + 3a2 = 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 + 3a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a2 = 0 + -1 3a2 = 0 + -1 Combine like terms: 0 + -1 = -1 3a2 = -1 Divide each side by '3'. a2 = -0.3333333333 Simplifying a2 = -0.3333333333 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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