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