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Simplifying x2000 + x1000 + -2 = 0 Reorder the terms: -2 + x1000 + x2000 = 0 Solving -2 + x1000 + x2000 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x1000)(1 + -1x1000) = 0 Factor a difference between two squares. (-2 + -1x1000)((1 + x500)(1 + -1x500)) = 0 Factor a difference between two squares. (-2 + -1x1000)((1 + x500)((1 + x250)(1 + -1x250))) = 0 Factor a difference between two squares. (-2 + -1x1000)((1 + x500)((1 + x250)((1 + x125)(1 + -1x125)))) = 0Subproblem 1
Set the factor '(-2 + -1x1000)' equal to zero and attempt to solve: Simplifying -2 + -1x1000 = 0 Solving -2 + -1x1000 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x1000 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x1000 = 0 + 2 -1x1000 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x1000 = 2 Divide each side by '-1'. x1000 = -2 Simplifying x1000 = -2 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 '(1 + x500)' equal to zero and attempt to solve: Simplifying 1 + x500 = 0 Solving 1 + x500 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x500 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x500 = 0 + -1 x500 = 0 + -1 Combine like terms: 0 + -1 = -1 x500 = -1 Simplifying x500 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + x250)' equal to zero and attempt to solve: Simplifying 1 + x250 = 0 Solving 1 + x250 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x250 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x250 = 0 + -1 x250 = 0 + -1 Combine like terms: 0 + -1 = -1 x250 = -1 Simplifying x250 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(1 + x125)' equal to zero and attempt to solve: Simplifying 1 + x125 = 0 Solving 1 + x125 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x125 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x125 = 0 + -1 x125 = 0 + -1 Combine like terms: 0 + -1 = -1 x125 = -1 Simplifying x125 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 5
Set the factor '(1 + -1x125)' equal to zero and attempt to solve: Simplifying 1 + -1x125 = 0 Solving 1 + -1x125 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x125 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x125 = 0 + -1 -1x125 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x125 = -1 Divide each side by '-1'. x125 = 1 Simplifying x125 = 1 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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