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Simplifying x4 + 80x2 + 1024 = 0 Reorder the terms: 1024 + 80x2 + x4 = 0 Solving 1024 + 80x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (64 + x2)(16 + x2) = 0Subproblem 1
Set the factor '(64 + x2)' equal to zero and attempt to solve: Simplifying 64 + x2 = 0 Solving 64 + x2 = 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 + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + x2 = 0 + -64 x2 = 0 + -64 Combine like terms: 0 + -64 = -64 x2 = -64 Simplifying x2 = -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 '(16 + x2)' equal to zero and attempt to solve: Simplifying 16 + x2 = 0 Solving 16 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2 = 0 + -16 x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2 = -16 Simplifying x2 = -16 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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