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Simplifying (-1a + -3b + 2) * 3ab = 0 Reorder the terms: (2 + -1a + -3b) * 3ab = 0 Reorder the terms for easier multiplication: 3ab(2 + -1a + -3b) = 0 (2 * 3ab + -1a * 3ab + -3b * 3ab) = 0 Reorder the terms: (6ab + -9ab2 + -3a2b) = 0 (6ab + -9ab2 + -3a2b) = 0 Solving 6ab + -9ab2 + -3a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(2 + -3b + -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 '(2 + -3b + -1a)' equal to zero and attempt to solve: Simplifying 2 + -3b + -1a = 0 Reorder the terms: 2 + -1a + -3b = 0 Solving 2 + -1a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1a + -2 + -3b = 0 + -2 Reorder the terms: 2 + -2 + -1a + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a + -3b = 0 + -2 -1a + -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -1a + -3b = -2 Add '3b' to each side of the equation. -1a + -3b + 3b = -2 + 3b Combine like terms: -3b + 3b = 0 -1a + 0 = -2 + 3b -1a = -2 + 3b Divide each side by '-1'. a = 2 + -3b Simplifying a = 2 + -3bSolution
a = {2 + -3b}
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