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Simplifying 4a2b + ab2 + -8ab = 0 Reorder the terms: -8ab + ab2 + 4a2b = 0 Solving -8ab + ab2 + 4a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(-8 + b + 4a) = 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 '(-8 + b + 4a)' equal to zero and attempt to solve: Simplifying -8 + b + 4a = 0 Reorder the terms: -8 + 4a + b = 0 Solving -8 + 4a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4a + 8 + b = 0 + 8 Reorder the terms: -8 + 8 + 4a + b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4a + b = 0 + 8 4a + b = 0 + 8 Combine like terms: 0 + 8 = 8 4a + b = 8 Add '-1b' to each side of the equation. 4a + b + -1b = 8 + -1b Combine like terms: b + -1b = 0 4a + 0 = 8 + -1b 4a = 8 + -1b Divide each side by '4'. a = 2 + -0.25b Simplifying a = 2 + -0.25bSolution
a = {2 + -0.25b}
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