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Simplifying (7a7 + 6a2 + 4a3) * x(6a4 + 2a) = 0 Reorder the terms: (6a2 + 4a3 + 7a7) * x(6a4 + 2a) = 0 Reorder the terms: (6a2 + 4a3 + 7a7) * x(2a + 6a4) = 0 Reorder the terms for easier multiplication: x(6a2 + 4a3 + 7a7)(2a + 6a4) = 0 Multiply (6a2 + 4a3 + 7a7) * (2a + 6a4) x(6a2 * (2a + 6a4) + 4a3 * (2a + 6a4) + 7a7 * (2a + 6a4)) = 0 x((2a * 6a2 + 6a4 * 6a2) + 4a3 * (2a + 6a4) + 7a7 * (2a + 6a4)) = 0 x((12a3 + 36a6) + 4a3 * (2a + 6a4) + 7a7 * (2a + 6a4)) = 0 x(12a3 + 36a6 + (2a * 4a3 + 6a4 * 4a3) + 7a7 * (2a + 6a4)) = 0 x(12a3 + 36a6 + (8a4 + 24a7) + 7a7 * (2a + 6a4)) = 0 x(12a3 + 36a6 + 8a4 + 24a7 + (2a * 7a7 + 6a4 * 7a7)) = 0 x(12a3 + 36a6 + 8a4 + 24a7 + (14a8 + 42a11)) = 0 Reorder the terms: x(12a3 + 8a4 + 36a6 + 24a7 + 14a8 + 42a11) = 0 x(12a3 + 8a4 + 36a6 + 24a7 + 14a8 + 42a11) = 0 (12a3 * x + 8a4 * x + 36a6 * x + 24a7 * x + 14a8 * x + 42a11 * x) = 0 (12a3x + 8a4x + 36a6x + 24a7x + 14a8x + 42a11x) = 0 Solving 12a3x + 8a4x + 36a6x + 24a7x + 14a8x + 42a11x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a3x'. 2a3x(6 + 4a + 18a3 + 12a4 + 7a5 + 21a8) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a3x' equal to zero and attempt to solve: Simplifying a3x = 0 Solving a3x = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + 4a + 18a3 + 12a4 + 7a5 + 21a8)' equal to zero and attempt to solve: Simplifying 6 + 4a + 18a3 + 12a4 + 7a5 + 21a8 = 0 Solving 6 + 4a + 18a3 + 12a4 + 7a5 + 21a8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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