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Simplifying 9ab(3b + -8a) = 0 Reorder the terms: 9ab(-8a + 3b) = 0 (-8a * 9ab + 3b * 9ab) = 0 Reorder the terms: (27ab2 + -72a2b) = 0 (27ab2 + -72a2b) = 0 Solving 27ab2 + -72a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9ab'. 9ab(3b + -8a) = 0 Ignore the factor 9.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 '(3b + -8a)' equal to zero and attempt to solve: Simplifying 3b + -8a = 0 Reorder the terms: -8a + 3b = 0 Solving -8a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -8a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -8a + 0 = 0 + -3b -8a = 0 + -3b Remove the zero: -8a = -3b Divide each side by '-8'. a = 0.375b Simplifying a = 0.375bSolution
a = {0.375b}
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