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Simplifying x6 + 61x3 + -8000 = 0 Reorder the terms: -8000 + 61x3 + x6 = 0 Solving -8000 + 61x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (-125 + -1x3)(64 + -1x3) = 0Subproblem 1
Set the factor '(-125 + -1x3)' equal to zero and attempt to solve: Simplifying -125 + -1x3 = 0 Solving -125 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -1x3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -1x3 = 0 + 125 -1x3 = 0 + 125 Combine like terms: 0 + 125 = 125 -1x3 = 125 Divide each side by '-1'. x3 = -125 Simplifying x3 = -125 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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