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Simplifying 27x6 + 208x3 + -64 = 0 Reorder the terms: -64 + 208x3 + 27x6 = 0 Solving -64 + 208x3 + 27x6 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x3)(8 + -27x3) = 0Subproblem 1
Set the factor '(-8 + -1x3)' equal to zero and attempt to solve: Simplifying -8 + -1x3 = 0 Solving -8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x3 = 0 + 8 -1x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -1x3 = 8 Divide each side by '-1'. x3 = -8 Simplifying x3 = -8 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 '(8 + -27x3)' equal to zero and attempt to solve: Simplifying 8 + -27x3 = 0 Solving 8 + -27x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -27x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -27x3 = 0 + -8 -27x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -27x3 = -8 Divide each side by '-27'. x3 = 0.2962962963 Simplifying x3 = 0.2962962963 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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