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Simplifying w4 + 81w2 + 80 = 0 Reorder the terms: 80 + 81w2 + w4 = 0 Solving 80 + 81w2 + w4 = 0 Solving for variable 'w'. Factor a trinomial. (80 + w2)(1 + w2) = 0Subproblem 1
Set the factor '(80 + w2)' equal to zero and attempt to solve: Simplifying 80 + w2 = 0 Solving 80 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + w2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + w2 = 0 + -80 w2 = 0 + -80 Combine like terms: 0 + -80 = -80 w2 = -80 Simplifying w2 = -80 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 + w2)' equal to zero and attempt to solve: Simplifying 1 + w2 = 0 Solving 1 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w2 = 0 + -1 w2 = 0 + -1 Combine like terms: 0 + -1 = -1 w2 = -1 Simplifying w2 = -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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