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Simplifying (-1a + -2b + 3) * 7ab = 0 Reorder the terms: (3 + -1a + -2b) * 7ab = 0 Reorder the terms for easier multiplication: 7ab(3 + -1a + -2b) = 0 (3 * 7ab + -1a * 7ab + -2b * 7ab) = 0 Reorder the terms: (21ab + -14ab2 + -7a2b) = 0 (21ab + -14ab2 + -7a2b) = 0 Solving 21ab + -14ab2 + -7a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7ab'. 7ab(3 + -2b + -1a) = 0 Ignore the factor 7.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 + -2b + -1a)' equal to zero and attempt to solve: Simplifying 3 + -2b + -1a = 0 Reorder the terms: 3 + -1a + -2b = 0 Solving 3 + -1a + -2b = 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 + -2b = 0 + -3 Reorder the terms: 3 + -3 + -1a + -2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a + -2b = 0 + -3 -1a + -2b = 0 + -3 Combine like terms: 0 + -3 = -3 -1a + -2b = -3 Add '2b' to each side of the equation. -1a + -2b + 2b = -3 + 2b Combine like terms: -2b + 2b = 0 -1a + 0 = -3 + 2b -1a = -3 + 2b Divide each side by '-1'. a = 3 + -2b Simplifying a = 3 + -2bSolution
a = {3 + -2b}
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