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Simplifying w4 + 7w2 + -18 = 0 Reorder the terms: -18 + 7w2 + w4 = 0 Solving -18 + 7w2 + w4 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -1w2)(2 + -1w2) = 0Subproblem 1
Set the factor '(-9 + -1w2)' equal to zero and attempt to solve: Simplifying -9 + -1w2 = 0 Solving -9 + -1w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1w2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w2 = 0 + 9 -1w2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1w2 = 9 Divide each side by '-1'. w2 = -9 Simplifying w2 = -9 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 '(2 + -1w2)' equal to zero and attempt to solve: Simplifying 2 + -1w2 = 0 Solving 2 + -1w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w2 = 0 + -2 -1w2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1w2 = -2 Divide each side by '-1'. w2 = 2 Simplifying w2 = 2 Take the square root of each side: w = {-1.414213562, 1.414213562}Solution
w = {-1.414213562, 1.414213562}
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