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Simplifying 8a2b + ab2 + -2ab = 0 Reorder the terms: -2ab + ab2 + 8a2b = 0 Solving -2ab + ab2 + 8a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(-2 + b + 8a) = 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 '(-2 + b + 8a)' equal to zero and attempt to solve: Simplifying -2 + b + 8a = 0 Reorder the terms: -2 + 8a + b = 0 Solving -2 + 8a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 8a + 2 + b = 0 + 2 Reorder the terms: -2 + 2 + 8a + b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8a + b = 0 + 2 8a + b = 0 + 2 Combine like terms: 0 + 2 = 2 8a + b = 2 Add '-1b' to each side of the equation. 8a + b + -1b = 2 + -1b Combine like terms: b + -1b = 0 8a + 0 = 2 + -1b 8a = 2 + -1b Divide each side by '8'. a = 0.25 + -0.125b Simplifying a = 0.25 + -0.125bSolution
a = {0.25 + -0.125b}
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