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Simplifying 3ab(4a + b2) = 0 (4a * 3ab + b2 * 3ab) = 0 Reorder the terms: (3ab3 + 12a2b) = 0 (3ab3 + 12a2b) = 0 Solving 3ab3 + 12a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(b2 + 4a) = 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 '(b2 + 4a)' equal to zero and attempt to solve: Simplifying b2 + 4a = 0 Reorder the terms: 4a + b2 = 0 Solving 4a + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. 4a + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 4a + 0 = 0 + -1b2 4a = 0 + -1b2 Remove the zero: 4a = -1b2 Divide each side by '4'. a = -0.25b2 Simplifying a = -0.25b2Solution
a = {-0.25b2}
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