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Simplifying (-1a + -4b + 5) * 3ab = 0 Reorder the terms: (5 + -1a + -4b) * 3ab = 0 Reorder the terms for easier multiplication: 3ab(5 + -1a + -4b) = 0 (5 * 3ab + -1a * 3ab + -4b * 3ab) = 0 Reorder the terms: (15ab + -12ab2 + -3a2b) = 0 (15ab + -12ab2 + -3a2b) = 0 Solving 15ab + -12ab2 + -3a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(5 + -4b + -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 '(5 + -4b + -1a)' equal to zero and attempt to solve: Simplifying 5 + -4b + -1a = 0 Reorder the terms: 5 + -1a + -4b = 0 Solving 5 + -1a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1a + -5 + -4b = 0 + -5 Reorder the terms: 5 + -5 + -1a + -4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + -4b = 0 + -5 -1a + -4b = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + -4b = -5 Add '4b' to each side of the equation. -1a + -4b + 4b = -5 + 4b Combine like terms: -4b + 4b = 0 -1a + 0 = -5 + 4b -1a = -5 + 4b Divide each side by '-1'. a = 5 + -4b Simplifying a = 5 + -4bSolution
a = {5 + -4b}
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