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Simplifying a2b + ab3 + ab = 0 Reorder the terms: ab + ab3 + a2b = 0 Solving ab + ab3 + a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(1 + b2 + a) = 0Subproblem 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 + b2 + a)' equal to zero and attempt to solve: Simplifying 1 + b2 + a = 0 Reorder the terms: 1 + a + b2 = 0 Solving 1 + a + b2 = 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 + b2 = 0 + -1 Reorder the terms: 1 + -1 + a + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a + b2 = 0 + -1 a + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 a + b2 = -1 Add '-1b2' to each side of the equation. a + b2 + -1b2 = -1 + -1b2 Combine like terms: b2 + -1b2 = 0 a + 0 = -1 + -1b2 a = -1 + -1b2 Simplifying a = -1 + -1b2Solution
a = {-1 + -1b2}
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