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Simplifying 14a2 + 6a + -5a3 + -2a2 + -5a2 + -4a4 = 0 Reorder the terms: 6a + 14a2 + -2a2 + -5a2 + -5a3 + -4a4 = 0 Combine like terms: 14a2 + -2a2 = 12a2 6a + 12a2 + -5a2 + -5a3 + -4a4 = 0 Combine like terms: 12a2 + -5a2 = 7a2 6a + 7a2 + -5a3 + -4a4 = 0 Solving 6a + 7a2 + -5a3 + -4a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(6 + 7a + -5a2 + -4a3) = 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 '(6 + 7a + -5a2 + -4a3)' equal to zero and attempt to solve: Simplifying 6 + 7a + -5a2 + -4a3 = 0 Solving 6 + 7a + -5a2 + -4a3 = 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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