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Simplifying x6 + -37x3 = 1728 Reorder the terms: -37x3 + x6 = 1728 Solving -37x3 + x6 = 1728 Solving for variable 'x'. Reorder the terms: -1728 + -37x3 + x6 = 1728 + -1728 Combine like terms: 1728 + -1728 = 0 -1728 + -37x3 + x6 = 0 Factor a trinomial. (-27 + -1x3)(64 + -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 '(64 + -1x3)' equal to zero and attempt to solve: Simplifying 64 + -1x3 = 0 Solving 64 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -1x3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1x3 = 0 + -64 -1x3 = 0 + -64 Combine like terms: 0 + -64 = -64 -1x3 = -64 Divide each side by '-1'. x3 = 64 Simplifying x3 = 64 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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