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Simplifying (-1a + -2b + 5) * 5ab = 0 Reorder the terms: (5 + -1a + -2b) * 5ab = 0 Reorder the terms for easier multiplication: 5ab(5 + -1a + -2b) = 0 (5 * 5ab + -1a * 5ab + -2b * 5ab) = 0 Reorder the terms: (25ab + -10ab2 + -5a2b) = 0 (25ab + -10ab2 + -5a2b) = 0 Solving 25ab + -10ab2 + -5a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab'. 5ab(5 + -2b + -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 '(5 + -2b + -1a)' equal to zero and attempt to solve: Simplifying 5 + -2b + -1a = 0 Reorder the terms: 5 + -1a + -2b = 0 Solving 5 + -1a + -2b = 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 + -2b = 0 + -5 Reorder the terms: 5 + -5 + -1a + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + -2b = 0 + -5 -1a + -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + -2b = -5 Add '2b' to each side of the equation. -1a + -2b + 2b = -5 + 2b Combine like terms: -2b + 2b = 0 -1a + 0 = -5 + 2b -1a = -5 + 2b Divide each side by '-1'. a = 5 + -2b Simplifying a = 5 + -2bSolution
a = {5 + -2b}
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