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Simplifying 18a3 + 128ab2 = 0 Reorder the terms: 128ab2 + 18a3 = 0 Solving 128ab2 + 18a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(64b2 + 9a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(64b2 + 9a2)' equal to zero and attempt to solve: Simplifying 64b2 + 9a2 = 0 Reorder the terms: 9a2 + 64b2 = 0 Solving 9a2 + 64b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-64b2' to each side of the equation. 9a2 + 64b2 + -64b2 = 0 + -64b2 Combine like terms: 64b2 + -64b2 = 0 9a2 + 0 = 0 + -64b2 9a2 = 0 + -64b2 Remove the zero: 9a2 = -64b2 Divide each side by '9'. a2 = -7.111111111b2 Simplifying a2 = -7.111111111b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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