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Simplifying 6a2b3 + 12a4b = 0 Solving 6a2b3 + 12a4b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a2b'. 6a2b(b2 + 2a2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 + 2a2)' equal to zero and attempt to solve: Simplifying b2 + 2a2 = 0 Reorder the terms: 2a2 + b2 = 0 Solving 2a2 + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. 2a2 + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 2a2 + 0 = 0 + -1b2 2a2 = 0 + -1b2 Remove the zero: 2a2 = -1b2 Divide each side by '2'. a2 = -0.5b2 Simplifying a2 = -0.5b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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