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Simplifying (-1a + -6b + 3) * 2ab = 0 Reorder the terms: (3 + -1a + -6b) * 2ab = 0 Reorder the terms for easier multiplication: 2ab(3 + -1a + -6b) = 0 (3 * 2ab + -1a * 2ab + -6b * 2ab) = 0 Reorder the terms: (6ab + -12ab2 + -2a2b) = 0 (6ab + -12ab2 + -2a2b) = 0 Solving 6ab + -12ab2 + -2a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(3 + -6b + -1a) = 0 Ignore the factor 2.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 '(3 + -6b + -1a)' equal to zero and attempt to solve: Simplifying 3 + -6b + -1a = 0 Reorder the terms: 3 + -1a + -6b = 0 Solving 3 + -1a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1a + -3 + -6b = 0 + -3 Reorder the terms: 3 + -3 + -1a + -6b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a + -6b = 0 + -3 -1a + -6b = 0 + -3 Combine like terms: 0 + -3 = -3 -1a + -6b = -3 Add '6b' to each side of the equation. -1a + -6b + 6b = -3 + 6b Combine like terms: -6b + 6b = 0 -1a + 0 = -3 + 6b -1a = -3 + 6b Divide each side by '-1'. a = 3 + -6b Simplifying a = 3 + -6bSolution
a = {3 + -6b}
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