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Simplifying x20 + -2x10 + 1 = 0 Reorder the terms: 1 + -2x10 + x20 = 0 Solving 1 + -2x10 + x20 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x10)(1 + -1x10) = 0 Factor a difference between two squares. ((1 + x5)(1 + -1x5))(1 + -1x10) = 0 Factor a difference between two squares. ((1 + x5)(1 + -1x5))(1 + x5)(1 + -1x5) = 0Subproblem 1
Set the factor '(1 + x5)' equal to zero and attempt to solve: Simplifying 1 + x5 = 0 Solving 1 + x5 = 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 + x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x5 = 0 + -1 x5 = 0 + -1 Combine like terms: 0 + -1 = -1 x5 = -1 Simplifying x5 = -1 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 + -1x5)' equal to zero and attempt to solve: Simplifying 1 + -1x5 = 0 Solving 1 + -1x5 = 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 + -1x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x5 = 0 + -1 -1x5 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x5 = -1 Divide each side by '-1'. x5 = 1 Simplifying x5 = 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 + x5)' equal to zero and attempt to solve: Simplifying 1 + x5 = 0 Solving 1 + x5 = 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 + x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x5 = 0 + -1 x5 = 0 + -1 Combine like terms: 0 + -1 = -1 x5 = -1 Simplifying x5 = -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 + -1x5)' equal to zero and attempt to solve: Simplifying 1 + -1x5 = 0 Solving 1 + -1x5 = 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 + -1x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x5 = 0 + -1 -1x5 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x5 = -1 Divide each side by '-1'. x5 = 1 Simplifying x5 = 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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