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Simplifying (5ab)(2a + -1b) = 0 Remove parenthesis around (5ab) 5ab(2a + -1b) = 0 (2a * 5ab + -1b * 5ab) = 0 Reorder the terms: (-5ab2 + 10a2b) = 0 (-5ab2 + 10a2b) = 0 Solving -5ab2 + 10a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab'. 5ab(-1b + 2a) = 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 '(-1b + 2a)' equal to zero and attempt to solve: Simplifying -1b + 2a = 0 Reorder the terms: 2a + -1b = 0 Solving 2a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 2a + -1b + b = 0 + b Combine like terms: -1b + b = 0 2a + 0 = 0 + b 2a = 0 + b Remove the zero: 2a = b Divide each side by '2'. a = 0.5b Simplifying a = 0.5bSolution
a = {0.5b}
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