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Simplifying (7a4 + 4a) + -1(4a4 + -2a) = 0 Reorder the terms: (4a + 7a4) + -1(4a4 + -2a) = 0 Remove parenthesis around (4a + 7a4) 4a + 7a4 + -1(4a4 + -2a) = 0 Reorder the terms: 4a + 7a4 + -1(-2a + 4a4) = 0 4a + 7a4 + (-2a * -1 + 4a4 * -1) = 0 4a + 7a4 + (2a + -4a4) = 0 Reorder the terms: 4a + 2a + 7a4 + -4a4 = 0 Combine like terms: 4a + 2a = 6a 6a + 7a4 + -4a4 = 0 Combine like terms: 7a4 + -4a4 = 3a4 6a + 3a4 = 0 Solving 6a + 3a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(2 + a3) = 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 '(2 + a3)' equal to zero and attempt to solve: Simplifying 2 + a3 = 0 Solving 2 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a3 = 0 + -2 a3 = 0 + -2 Combine like terms: 0 + -2 = -2 a3 = -2 Simplifying a3 = -2 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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