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Simplifying (5ab + -7b + 9a) + (3a + -2b + 4ab) = 0 Reorder the terms: (9a + 5ab + -7b) + (3a + -2b + 4ab) = 0 Remove parenthesis around (9a + 5ab + -7b) 9a + 5ab + -7b + (3a + -2b + 4ab) = 0 Reorder the terms: 9a + 5ab + -7b + (3a + 4ab + -2b) = 0 Remove parenthesis around (3a + 4ab + -2b) 9a + 5ab + -7b + 3a + 4ab + -2b = 0 Reorder the terms: 9a + 3a + 5ab + 4ab + -7b + -2b = 0 Combine like terms: 9a + 3a = 12a 12a + 5ab + 4ab + -7b + -2b = 0 Combine like terms: 5ab + 4ab = 9ab 12a + 9ab + -7b + -2b = 0 Combine like terms: -7b + -2b = -9b 12a + 9ab + -9b = 0 Solving 12a + 9ab + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 12a + 9ab + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 12a + 9ab + 0 = 0 + 9b 12a + 9ab = 0 + 9b Remove the zero: 12a + 9ab = 9b Combine like terms: 9b + -9b = 0 12a + 9ab + -9b = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4a + 3ab + -3b) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4a + 3ab + -3b)' equal to zero and attempt to solve: Simplifying 4a + 3ab + -3b = 0 Solving 4a + 3ab + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 4a + 3ab + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 4a + 3ab + 0 = 0 + 3b 4a + 3ab = 0 + 3b Remove the zero: 4a + 3ab = 3b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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