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Simplifying (12a5 + -6a + -10a3) + -1(10a + -2a5 + -14a4) = 0 Reorder the terms: (-6a + -10a3 + 12a5) + -1(10a + -2a5 + -14a4) = 0 Remove parenthesis around (-6a + -10a3 + 12a5) -6a + -10a3 + 12a5 + -1(10a + -2a5 + -14a4) = 0 Reorder the terms: -6a + -10a3 + 12a5 + -1(10a + -14a4 + -2a5) = 0 -6a + -10a3 + 12a5 + (10a * -1 + -14a4 * -1 + -2a5 * -1) = 0 -6a + -10a3 + 12a5 + (-10a + 14a4 + 2a5) = 0 Reorder the terms: -6a + -10a + -10a3 + 14a4 + 12a5 + 2a5 = 0 Combine like terms: -6a + -10a = -16a -16a + -10a3 + 14a4 + 12a5 + 2a5 = 0 Combine like terms: 12a5 + 2a5 = 14a5 -16a + -10a3 + 14a4 + 14a5 = 0 Solving -16a + -10a3 + 14a4 + 14a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-8 + -5a2 + 7a3 + 7a4) = 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 '(-8 + -5a2 + 7a3 + 7a4)' equal to zero and attempt to solve: Simplifying -8 + -5a2 + 7a3 + 7a4 = 0 Solving -8 + -5a2 + 7a3 + 7a4 = 0 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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