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Simplifying (ab + 3a + 7) + -1(-5ab + -2) = 0 Reorder the terms: (7 + 3a + ab) + -1(-5ab + -2) = 0 Remove parenthesis around (7 + 3a + ab) 7 + 3a + ab + -1(-5ab + -2) = 0 Reorder the terms: 7 + 3a + ab + -1(-2 + -5ab) = 0 7 + 3a + ab + (-2 * -1 + -5ab * -1) = 0 7 + 3a + ab + (2 + 5ab) = 0 Reorder the terms: 7 + 2 + 3a + ab + 5ab = 0 Combine like terms: 7 + 2 = 9 9 + 3a + ab + 5ab = 0 Combine like terms: ab + 5ab = 6ab 9 + 3a + 6ab = 0 Solving 9 + 3a + 6ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3a + -9 + 6ab = 0 + -9 Reorder the terms: 9 + -9 + 3a + 6ab = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3a + 6ab = 0 + -9 3a + 6ab = 0 + -9 Combine like terms: 0 + -9 = -9 3a + 6ab = -9 Reorder the terms: 9 + 3a + 6ab = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 3a + 6ab = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + a + 2ab) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + a + 2ab)' equal to zero and attempt to solve: Simplifying 3 + a + 2ab = 0 Solving 3 + a + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a + -3 + 2ab = 0 + -3 Reorder the terms: 3 + -3 + a + 2ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a + 2ab = 0 + -3 a + 2ab = 0 + -3 Combine like terms: 0 + -3 = -3 a + 2ab = -3 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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