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Simplifying (-1a + -5b + 4) * 4ab = 0 Reorder the terms: (4 + -1a + -5b) * 4ab = 0 Reorder the terms for easier multiplication: 4ab(4 + -1a + -5b) = 0 (4 * 4ab + -1a * 4ab + -5b * 4ab) = 0 Reorder the terms: (16ab + -20ab2 + -4a2b) = 0 (16ab + -20ab2 + -4a2b) = 0 Solving 16ab + -20ab2 + -4a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(4 + -5b + -1a) = 0 Ignore the factor 4.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 '(4 + -5b + -1a)' equal to zero and attempt to solve: Simplifying 4 + -5b + -1a = 0 Reorder the terms: 4 + -1a + -5b = 0 Solving 4 + -1a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1a + -4 + -5b = 0 + -4 Reorder the terms: 4 + -4 + -1a + -5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a + -5b = 0 + -4 -1a + -5b = 0 + -4 Combine like terms: 0 + -4 = -4 -1a + -5b = -4 Add '5b' to each side of the equation. -1a + -5b + 5b = -4 + 5b Combine like terms: -5b + 5b = 0 -1a + 0 = -4 + 5b -1a = -4 + 5b Divide each side by '-1'. a = 4 + -5b Simplifying a = 4 + -5bSolution
a = {4 + -5b}
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