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