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Simplifying 0 = 13ab + 13a2b Solving 0 = 13ab + 13a2b Solving for variable 'a'. Remove the zero: -13ab + -13a2b = 13ab + 13a2b + -13ab + -13a2b Reorder the terms: -13ab + -13a2b = 13ab + -13ab + 13a2b + -13a2b Combine like terms: 13ab + -13ab = 0 -13ab + -13a2b = 0 + 13a2b + -13a2b -13ab + -13a2b = 13a2b + -13a2b Combine like terms: 13a2b + -13a2b = 0 -13ab + -13a2b = 0 Factor out the Greatest Common Factor (GCF), '-13ab'. -13ab(1 + a) = 0 Ignore the factor -13.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 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {-1}
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