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Simplifying w4 + -5w2 + -24 = 0 Reorder the terms: -24 + -5w2 + w4 = 0 Solving -24 + -5w2 + w4 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -1w2)(8 + -1w2) = 0Subproblem 1
Set the factor '(-3 + -1w2)' equal to zero and attempt to solve: Simplifying -3 + -1w2 = 0 Solving -3 + -1w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w2 = 0 + 3 -1w2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1w2 = 3 Divide each side by '-1'. w2 = -3 Simplifying w2 = -3 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 '(8 + -1w2)' equal to zero and attempt to solve: Simplifying 8 + -1w2 = 0 Solving 8 + -1w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w2 = 0 + -8 -1w2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1w2 = -8 Divide each side by '-1'. w2 = 8 Simplifying w2 = 8 Take the square root of each side: w = {-2.828427125, 2.828427125}Solution
w = {-2.828427125, 2.828427125}
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