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