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Simplifying 2a + -3a = ax + 8a Combine like terms: 2a + -3a = -1a -1a = ax + 8a Reorder the terms: -1a = 8a + ax Solving -1a = 8a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -1a + -8a = 8a + -8a + ax Combine like terms: -1a + -8a = -9a -9a = 8a + -8a + ax Combine like terms: 8a + -8a = 0 -9a = 0 + ax -9a = ax Add '-1ax' to each side of the equation. -9a + -1ax = ax + -1ax Combine like terms: ax + -1ax = 0 -9a + -1ax = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(9 + x) = 0 Ignore the factor -1.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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -1x 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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