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Simplifying x12 + -65x6 + 64 = 0 Reorder the terms: 64 + -65x6 + x12 = 0 Solving 64 + -65x6 + x12 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x6)(64 + -1x6) = 0 Factor a difference between two squares. ((1 + x3)(1 + -1x3))(64 + -1x6) = 0 Factor a difference between two squares. ((8 + x3)(8 + -1x3))(1 + x3)(1 + -1x3) = 0Subproblem 1
Set the factor '(1 + x3)' equal to zero and attempt to solve: Simplifying 1 + x3 = 0 Solving 1 + x3 = 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 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x3 = 0 + -1 x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x3 = -1 Simplifying x3 = -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 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 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 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 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 '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 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 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 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 4
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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