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Simplifying (6ab + -1a) + 3(2a + -3ab) = 0 Reorder the terms: (-1a + 6ab) + 3(2a + -3ab) = 0 Remove parenthesis around (-1a + 6ab) -1a + 6ab + 3(2a + -3ab) = 0 -1a + 6ab + (2a * 3 + -3ab * 3) = 0 -1a + 6ab + (6a + -9ab) = 0 Reorder the terms: -1a + 6a + 6ab + -9ab = 0 Combine like terms: -1a + 6a = 5a 5a + 6ab + -9ab = 0 Combine like terms: 6ab + -9ab = -3ab 5a + -3ab = 0 Solving 5a + -3ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(5 + -3b) = 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 + -3b)' equal to zero and attempt to solve: Simplifying 5 + -3b = 0 Solving 5 + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3b = 0 + -5 -3b = 0 + -5 Combine like terms: 0 + -5 = -5 -3b = -5 Add '3b' to each side of the equation. -3b + 3b = -5 + 3b Combine like terms: -3b + 3b = 0 0 = -5 + 3b Simplifying 0 = -5 + 3b 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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