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Simplifying 3ax(9 + -1y) = 3axy + -5a (9 * 3ax + -1y * 3ax) = 3axy + -5a (27ax + -3axy) = 3axy + -5a Reorder the terms: 27ax + -3axy = -5a + 3axy Solving 27ax + -3axy = -5a + 3axy Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 27ax + 5a + -3axy = -5a + 5a + 3axy Reorder the terms: 5a + 27ax + -3axy = -5a + 5a + 3axy Combine like terms: -5a + 5a = 0 5a + 27ax + -3axy = 0 + 3axy 5a + 27ax + -3axy = 3axy Add '-3axy' to each side of the equation. 5a + 27ax + -3axy + -3axy = 3axy + -3axy Combine like terms: -3axy + -3axy = -6axy 5a + 27ax + -6axy = 3axy + -3axy Combine like terms: 3axy + -3axy = 0 5a + 27ax + -6axy = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(5 + 27x + -6xy) = 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 '(5 + 27x + -6xy)' equal to zero and attempt to solve: Simplifying 5 + 27x + -6xy = 0 Solving 5 + 27x + -6xy = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 27x + -5 + -6xy = 0 + -5 Reorder the terms: 5 + -5 + 27x + -6xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 27x + -6xy = 0 + -5 27x + -6xy = 0 + -5 Combine like terms: 0 + -5 = -5 27x + -6xy = -5 Add '-27x' to each side of the equation. 27x + -27x + -6xy = -5 + -27x Combine like terms: 27x + -27x = 0 0 + -6xy = -5 + -27x -6xy = -5 + -27x Add '6xy' to each side of the equation. -6xy + 6xy = -5 + -27x + 6xy Combine like terms: -6xy + 6xy = 0 0 = -5 + -27x + 6xy Simplifying 0 = -5 + -27x + 6xy 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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