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Simplifying 4a2b + 2ab2 + -8ab = 0 Reorder the terms: -8ab + 2ab2 + 4a2b = 0 Solving -8ab + 2ab2 + 4a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-4 + b + 2a) = 0 Ignore the factor 2.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 '(-4 + b + 2a)' equal to zero and attempt to solve: Simplifying -4 + b + 2a = 0 Reorder the terms: -4 + 2a + b = 0 Solving -4 + 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2a + 4 + b = 0 + 4 Reorder the terms: -4 + 4 + 2a + b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2a + b = 0 + 4 2a + b = 0 + 4 Combine like terms: 0 + 4 = 4 2a + b = 4 Add '-1b' to each side of the equation. 2a + b + -1b = 4 + -1b Combine like terms: b + -1b = 0 2a + 0 = 4 + -1b 2a = 4 + -1b Divide each side by '2'. a = 2 + -0.5b Simplifying a = 2 + -0.5bSolution
a = {2 + -0.5b}
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