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Simplifying 9ab + -15ac = 3a Solving 9ab + -15ac = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9ab + -3a + -15ac = 3a + -3a Reorder the terms: -3a + 9ab + -15ac = 3a + -3a Combine like terms: 3a + -3a = 0 -3a + 9ab + -15ac = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-1 + 3b + -5c) = 0 Ignore the factor 3.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 '(-1 + 3b + -5c)' equal to zero and attempt to solve: Simplifying -1 + 3b + -5c = 0 Solving -1 + 3b + -5c = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3b + 1 + -5c = 0 + 1 Reorder the terms: -1 + 1 + 3b + -5c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3b + -5c = 0 + 1 3b + -5c = 0 + 1 Combine like terms: 0 + 1 = 1 3b + -5c = 1 Add '-3b' to each side of the equation. 3b + -3b + -5c = 1 + -3b Combine like terms: 3b + -3b = 0 0 + -5c = 1 + -3b -5c = 1 + -3b Add '5c' to each side of the equation. -5c + 5c = 1 + -3b + 5c Combine like terms: -5c + 5c = 0 0 = 1 + -3b + 5c Simplifying 0 = 1 + -3b + 5c 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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