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Simplifying (-1a + -7b + 6) * 3ab = 0 Reorder the terms: (6 + -1a + -7b) * 3ab = 0 Reorder the terms for easier multiplication: 3ab(6 + -1a + -7b) = 0 (6 * 3ab + -1a * 3ab + -7b * 3ab) = 0 Reorder the terms: (18ab + -21ab2 + -3a2b) = 0 (18ab + -21ab2 + -3a2b) = 0 Solving 18ab + -21ab2 + -3a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(6 + -7b + -1a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + -7b + -1a)' equal to zero and attempt to solve: Simplifying 6 + -7b + -1a = 0 Reorder the terms: 6 + -1a + -7b = 0 Solving 6 + -1a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1a + -6 + -7b = 0 + -6 Reorder the terms: 6 + -6 + -1a + -7b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a + -7b = 0 + -6 -1a + -7b = 0 + -6 Combine like terms: 0 + -6 = -6 -1a + -7b = -6 Add '7b' to each side of the equation. -1a + -7b + 7b = -6 + 7b Combine like terms: -7b + 7b = 0 -1a + 0 = -6 + 7b -1a = -6 + 7b Divide each side by '-1'. a = 6 + -7b Simplifying a = 6 + -7bSolution
a = {6 + -7b}
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