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Simplifying a3b3 + 27 = 0 Reorder the terms: 27 + a3b3 = 0 Solving 27 + a3b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + a3b3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + a3b3 = 0 + -27 a3b3 = 0 + -27 Combine like terms: 0 + -27 = -27 a3b3 = -27 Divide each side by 'b3'. a3 = -27b-3 Simplifying a3 = -27b-3 Combine like terms: -27b-3 + 27b-3 = 0 a3 + 27b-3 = 0 Factor out the Greatest Common Factor (GCF), 'b-3'. b-3(a3b3 + 27) = 0Subproblem 1
Set the factor 'b-3' equal to zero and attempt to solve: Simplifying b-3 = 0 Solving b-3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-3' to each side of the equation. b-3 + -1b-3 = 0 + -1b-3 Remove the zero: 0 = -1b-3 Simplifying 0 = -1b-3 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 '(a3b3 + 27)' equal to zero and attempt to solve: Simplifying a3b3 + 27 = 0 Reorder the terms: 27 + a3b3 = 0 Solving 27 + a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + a3b3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + a3b3 = 0 + -27 a3b3 = 0 + -27 Combine like terms: 0 + -27 = -27 a3b3 = -27 Divide each side by 'b3'. a3 = -27b-3 Simplifying a3 = -27b-3 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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