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Simplifying x6 + 65x3 + 64 = 0 Reorder the terms: 64 + 65x3 + x6 = 0 Solving 64 + 65x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (64 + x3)(1 + x3) = 0Subproblem 1
Set the factor '(64 + x3)' equal to zero and attempt to solve: Simplifying 64 + x3 = 0 Solving 64 + x3 = 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 + x3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + x3 = 0 + -64 x3 = 0 + -64 Combine like terms: 0 + -64 = -64 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.Subproblem 2
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. The solution to this equation could not be determined.
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