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Simplifying x4 + 8x2 + 16 = 9 Reorder the terms: 16 + 8x2 + x4 = 9 Solving 16 + 8x2 + x4 = 9 Solving for variable 'x'. Reorder the terms: 16 + -9 + 8x2 + x4 = 9 + -9 Combine like terms: 16 + -9 = 7 7 + 8x2 + x4 = 9 + -9 Combine like terms: 9 + -9 = 0 7 + 8x2 + x4 = 0 Factor a trinomial. (7 + x2)(1 + x2) = 0Subproblem 1
Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 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 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -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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