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Simplifying 3ab(5a + -9b) = 0 (5a * 3ab + -9b * 3ab) = 0 Reorder the terms: (-27ab2 + 15a2b) = 0 (-27ab2 + 15a2b) = 0 Solving -27ab2 + 15a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(-9b + 5a) = 0 Ignore the factor 3.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 '(-9b + 5a)' equal to zero and attempt to solve: Simplifying -9b + 5a = 0 Reorder the terms: 5a + -9b = 0 Solving 5a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 5a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 5a + 0 = 0 + 9b 5a = 0 + 9b Remove the zero: 5a = 9b Divide each side by '5'. a = 1.8b Simplifying a = 1.8bSolution
a = {1.8b}
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