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Simplifying 9a + -3x(a + -6) = -6 Reorder the terms: 9a + -3x(-6 + a) = -6 9a + (-6 * -3x + a * -3x) = -6 Reorder the terms: 9a + (-3ax + 18x) = -6 9a + (-3ax + 18x) = -6 Solving 9a + -3ax + 18x = -6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18x' to each side of the equation. 9a + -3ax + 18x + -18x = -6 + -18x Combine like terms: 18x + -18x = 0 9a + -3ax + 0 = -6 + -18x 9a + -3ax = -6 + -18x Reorder the terms: 6 + 9a + -3ax + 18x = -6 + -18x + 6 + 18x Reorder the terms: 6 + 9a + -3ax + 18x = -6 + 6 + -18x + 18x Combine like terms: -6 + 6 = 0 6 + 9a + -3ax + 18x = 0 + -18x + 18x 6 + 9a + -3ax + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 6 + 9a + -3ax + 18x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + 3a + -1ax + 6x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 3a + -1ax + 6x)' equal to zero and attempt to solve: Simplifying 2 + 3a + -1ax + 6x = 0 Solving 2 + 3a + -1ax + 6x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3a + -1ax + -2 + 6x = 0 + -2 Reorder the terms: 2 + -2 + 3a + -1ax + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a + -1ax + 6x = 0 + -2 3a + -1ax + 6x = 0 + -2 Combine like terms: 0 + -2 = -2 3a + -1ax + 6x = -2 Add '-6x' to each side of the equation. 3a + -1ax + 6x + -6x = -2 + -6x Combine like terms: 6x + -6x = 0 3a + -1ax + 0 = -2 + -6x 3a + -1ax = -2 + -6x 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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