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Simplifying 4ab(3a + -2b) = 0 (3a * 4ab + -2b * 4ab) = 0 Reorder the terms: (-8ab2 + 12a2b) = 0 (-8ab2 + 12a2b) = 0 Solving -8ab2 + 12a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(-2b + 3a) = 0 Ignore the factor 4.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 '(-2b + 3a)' equal to zero and attempt to solve: Simplifying -2b + 3a = 0 Reorder the terms: 3a + -2b = 0 Solving 3a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 3a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 3a + 0 = 0 + 2b 3a = 0 + 2b Remove the zero: 3a = 2b Divide each side by '3'. a = 0.6666666667b Simplifying a = 0.6666666667bSolution
a = {0.6666666667b}
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