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Simplifying 0 = a(4b + -9) + a(6 + -1b) Reorder the terms: 0 = a(-9 + 4b) + a(6 + -1b) 0 = (-9 * a + 4b * a) + a(6 + -1b) 0 = (-9a + 4ab) + a(6 + -1b) 0 = -9a + 4ab + (6 * a + -1b * a) 0 = -9a + 4ab + (6a + -1ab) Reorder the terms: 0 = -9a + 6a + 4ab + -1ab Combine like terms: -9a + 6a = -3a 0 = -3a + 4ab + -1ab Combine like terms: 4ab + -1ab = 3ab 0 = -3a + 3ab Solving 0 = -3a + 3ab 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. 0 + 3a = -3a + 3a + 3ab Remove the zero: 3a = -3a + 3a + 3ab Combine like terms: -3a + 3a = 0 3a = 0 + 3ab 3a = 3ab Add '-3ab' to each side of the equation. 3a + -3ab = 3ab + -3ab Combine like terms: 3ab + -3ab = 0 3a + -3ab = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(1 + -1b) = 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 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 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 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Add 'b' to each side of the equation. -1b + b = -1 + b Combine like terms: -1b + b = 0 0 = -1 + b Simplifying 0 = -1 + b 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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