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Simplifying (-1a + -4b + 2) * 5ab = 0 Reorder the terms: (2 + -1a + -4b) * 5ab = 0 Reorder the terms for easier multiplication: 5ab(2 + -1a + -4b) = 0 (2 * 5ab + -1a * 5ab + -4b * 5ab) = 0 Reorder the terms: (10ab + -20ab2 + -5a2b) = 0 (10ab + -20ab2 + -5a2b) = 0 Solving 10ab + -20ab2 + -5a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab'. 5ab(2 + -4b + -1a) = 0 Ignore the factor 5.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 + -4b + -1a)' equal to zero and attempt to solve: Simplifying 2 + -4b + -1a = 0 Reorder the terms: 2 + -1a + -4b = 0 Solving 2 + -1a + -4b = 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 + -4b = 0 + -2 Reorder the terms: 2 + -2 + -1a + -4b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a + -4b = 0 + -2 -1a + -4b = 0 + -2 Combine like terms: 0 + -2 = -2 -1a + -4b = -2 Add '4b' to each side of the equation. -1a + -4b + 4b = -2 + 4b Combine like terms: -4b + 4b = 0 -1a + 0 = -2 + 4b -1a = -2 + 4b Divide each side by '-1'. a = 2 + -4b Simplifying a = 2 + -4bSolution
a = {2 + -4b}
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