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Simplifying a = 4a + 9ab Solving a = 4a + 9ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. a + -4a = 4a + -4a + 9ab Combine like terms: a + -4a = -3a -3a = 4a + -4a + 9ab Combine like terms: 4a + -4a = 0 -3a = 0 + 9ab -3a = 9ab Add '-9ab' to each side of the equation. -3a + -9ab = 9ab + -9ab Combine like terms: 9ab + -9ab = 0 -3a + -9ab = 0 Factor out the Greatest Common Factor (GCF), '-3a'. -3a(1 + 3b) = 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)' equal to zero and attempt to solve: Simplifying 1 + 3b = 0 Solving 1 + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 0 + -1 3b = 0 + -1 Combine like terms: 0 + -1 = -1 3b = -1 Add '-3b' to each side of the equation. 3b + -3b = -1 + -3b Combine like terms: 3b + -3b = 0 0 = -1 + -3b Simplifying 0 = -1 + -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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