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Simplifying 81a3x3 + 3a3b3 + -3a3c3 = 0 Reorder the terms: 3a3b3 + -3a3c3 + 81a3x3 = 0 Solving 3a3b3 + -3a3c3 + 81a3x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a3'. 3a3(b3 + -1c3 + 27x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 '(b3 + -1c3 + 27x3)' equal to zero and attempt to solve: Simplifying b3 + -1c3 + 27x3 = 0 Solving b3 + -1c3 + 27x3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b3' to each side of the equation. b3 + -1c3 + -1b3 + 27x3 = 0 + -1b3 Reorder the terms: b3 + -1b3 + -1c3 + 27x3 = 0 + -1b3 Combine like terms: b3 + -1b3 = 0 0 + -1c3 + 27x3 = 0 + -1b3 -1c3 + 27x3 = 0 + -1b3 Remove the zero: -1c3 + 27x3 = -1b3 Add 'c3' to each side of the equation. -1c3 + c3 + 27x3 = -1b3 + c3 Combine like terms: -1c3 + c3 = 0 0 + 27x3 = -1b3 + c3 27x3 = -1b3 + c3 Add '-27x3' to each side of the equation. 27x3 + -27x3 = -1b3 + c3 + -27x3 Combine like terms: 27x3 + -27x3 = 0 0 = -1b3 + c3 + -27x3 Simplifying 0 = -1b3 + c3 + -27x3 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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