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Simplifying x6 + 117x3 = 1000 Reorder the terms: 117x3 + x6 = 1000 Solving 117x3 + x6 = 1000 Solving for variable 'x'. Reorder the terms: -1000 + 117x3 + x6 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + 117x3 + x6 = 0 Factor a trinomial. (-125 + -1x3)(8 + -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 '(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. The solution to this equation could not be determined.
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