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Simplifying x6 + -54x3 + 729 = 0 Reorder the terms: 729 + -54x3 + x6 = 0 Solving 729 + -54x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (27 + -1x3)(27 + -1x3) = 0Subproblem 1
Set the factor '(27 + -1x3)' equal to zero and attempt to solve: Simplifying 27 + -1x3 = 0 Solving 27 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x3 = 0 + -27 -1x3 = 0 + -27 Combine like terms: 0 + -27 = -27 -1x3 = -27 Divide each side by '-1'. x3 = 27 Simplifying x3 = 27 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 '(27 + -1x3)' equal to zero and attempt to solve: Simplifying 27 + -1x3 = 0 Solving 27 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x3 = 0 + -27 -1x3 = 0 + -27 Combine like terms: 0 + -27 = -27 -1x3 = -27 Divide each side by '-1'. x3 = 27 Simplifying x3 = 27 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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