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Simplifying 12a3b2 + -27ab2 = 0 Reorder the terms: -27ab2 + 12a3b2 = 0 Solving -27ab2 + 12a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab2'. 3ab2(-9 + 4a2) = 0 Factor a difference between two squares. 3ab2((3 + 2a)(-3 + 2a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Subproblem 3
Set the factor '(-3 + 2a)' equal to zero and attempt to solve: Simplifying -3 + 2a = 0 Solving -3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 0 + 3 2a = 0 + 3 Combine like terms: 0 + 3 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5Solution
a = {-1.5, 1.5}
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