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Simplifying 4a2b + 6ab + -8ab2 = 0 Reorder the terms: 6ab + -8ab2 + 4a2b = 0 Solving 6ab + -8ab2 + 4a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(3 + -4b + 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 '(3 + -4b + 2a)' equal to zero and attempt to solve: Simplifying 3 + -4b + 2a = 0 Reorder the terms: 3 + 2a + -4b = 0 Solving 3 + 2a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2a + -3 + -4b = 0 + -3 Reorder the terms: 3 + -3 + 2a + -4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a + -4b = 0 + -3 2a + -4b = 0 + -3 Combine like terms: 0 + -3 = -3 2a + -4b = -3 Add '4b' to each side of the equation. 2a + -4b + 4b = -3 + 4b Combine like terms: -4b + 4b = 0 2a + 0 = -3 + 4b 2a = -3 + 4b Divide each side by '2'. a = -1.5 + 2b Simplifying a = -1.5 + 2bSolution
a = {-1.5 + 2b}
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