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Simplifying 0 = 12a2b + 4ab3 Reorder the terms: 0 = 4ab3 + 12a2b Solving 0 = 4ab3 + 12a2b Solving for variable 'a'. Remove the zero: -4ab3 + -12a2b = 4ab3 + 12a2b + -4ab3 + -12a2b Reorder the terms: -4ab3 + -12a2b = 4ab3 + -4ab3 + 12a2b + -12a2b Combine like terms: 4ab3 + -4ab3 = 0 -4ab3 + -12a2b = 0 + 12a2b + -12a2b -4ab3 + -12a2b = 12a2b + -12a2b Combine like terms: 12a2b + -12a2b = 0 -4ab3 + -12a2b = 0 Factor out the Greatest Common Factor (GCF), '-4ab'. -4ab(b2 + 3a) = 0 Ignore the factor -4.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 + 3a)' equal to zero and attempt to solve: Simplifying b2 + 3a = 0 Reorder the terms: 3a + b2 = 0 Solving 3a + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. 3a + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 3a + 0 = 0 + -1b2 3a = 0 + -1b2 Remove the zero: 3a = -1b2 Divide each side by '3'. a = -0.3333333333b2 Simplifying a = -0.3333333333b2Solution
a = {-0.3333333333b2}
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