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Simplifying 2w8 + -2 = 0 Reorder the terms: -2 + 2w8 = 0 Solving -2 + 2w8 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2w8 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2w8 = 0 + 2 2w8 = 0 + 2 Combine like terms: 0 + 2 = 2 2w8 = 2 Divide each side by '2'. w8 = 1 Simplifying w8 = 1 Reorder the terms: -1 + w8 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + w8 = 0 Factor a difference between two squares. (1 + w4)(-1 + w4) = 0 Factor a difference between two squares. (1 + w4)((1 + w2)(-1 + w2)) = 0 Factor a difference between two squares. (1 + w4)((1 + w2)((1 + w)(-1 + w))) = 0Subproblem 1
Set the factor '(1 + w4)' equal to zero and attempt to solve: Simplifying 1 + w4 = 0 Solving 1 + w4 = 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 + w4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w4 = 0 + -1 w4 = 0 + -1 Combine like terms: 0 + -1 = -1 w4 = -1 Simplifying w4 = -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 + 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.Subproblem 3
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Subproblem 4
Set the factor '(-1 + w)' equal to zero and attempt to solve: Simplifying -1 + w = 0 Solving -1 + w = 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 + w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + w = 0 + 1 w = 0 + 1 Combine like terms: 0 + 1 = 1 w = 1 Simplifying w = 1Solution
w = {-1, 1}
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