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Simplifying 3ab + -9ab2 + 6a2b = 0 Solving 3ab + -9ab2 + 6a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(1 + -3b + 2a) = 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 '(1 + -3b + 2a)' equal to zero and attempt to solve: Simplifying 1 + -3b + 2a = 0 Reorder the terms: 1 + 2a + -3b = 0 Solving 1 + 2a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2a + -1 + -3b = 0 + -1 Reorder the terms: 1 + -1 + 2a + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a + -3b = 0 + -1 2a + -3b = 0 + -1 Combine like terms: 0 + -1 = -1 2a + -3b = -1 Add '3b' to each side of the equation. 2a + -3b + 3b = -1 + 3b Combine like terms: -3b + 3b = 0 2a + 0 = -1 + 3b 2a = -1 + 3b Divide each side by '2'. a = -0.5 + 1.5b Simplifying a = -0.5 + 1.5bSolution
a = {-0.5 + 1.5b}
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