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Simplifying Kw2 + -13x + -5 = 0 Reorder the terms: -5 + w2K + -13x = 0 Solving -5 + w2K + -13x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + w2K + 5 + -13x = 0 + 5 Reorder the terms: -5 + 5 + w2K + -13x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w2K + -13x = 0 + 5 w2K + -13x = 0 + 5 Combine like terms: 0 + 5 = 5 w2K + -13x = 5 Add '13x' to each side of the equation. w2K + -13x + 13x = 5 + 13x Combine like terms: -13x + 13x = 0 w2K + 0 = 5 + 13x w2K = 5 + 13x Divide each side by 'K'. w2 = 5K-1 + 13xK-1 Simplifying w2 = 5K-1 + 13xK-1 Reorder the terms: -5K-1 + w2 + -13xK-1 = 5K-1 + 13xK-1 + -5K-1 + -13xK-1 Reorder the terms: -5K-1 + w2 + -13xK-1 = 5K-1 + -5K-1 + 13xK-1 + -13xK-1 Combine like terms: 5K-1 + -5K-1 = 0 -5K-1 + w2 + -13xK-1 = 0 + 13xK-1 + -13xK-1 -5K-1 + w2 + -13xK-1 = 13xK-1 + -13xK-1 Combine like terms: 13xK-1 + -13xK-1 = 0 -5K-1 + w2 + -13xK-1 = 0 Factor out the Greatest Common Factor (GCF), 'K-1'. K-1(-5 + w2K + -13x) = 0Subproblem 1
Set the factor 'K-1' equal to zero and attempt to solve: Simplifying K-1 = 0 Solving K-1 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1K-1' to each side of the equation. K-1 + -1K-1 = 0 + -1K-1 Remove the zero: 0 = -1K-1 Simplifying 0 = -1K-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 '(-5 + w2K + -13x)' equal to zero and attempt to solve: Simplifying -5 + w2K + -13x = 0 Solving -5 + w2K + -13x = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + w2K + 5 + -13x = 0 + 5 Reorder the terms: -5 + 5 + w2K + -13x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w2K + -13x = 0 + 5 w2K + -13x = 0 + 5 Combine like terms: 0 + 5 = 5 w2K + -13x = 5 Add '13x' to each side of the equation. w2K + -13x + 13x = 5 + 13x Combine like terms: -13x + 13x = 0 w2K + 0 = 5 + 13x w2K = 5 + 13x Divide each side by 'K'. w2 = 5K-1 + 13xK-1 Simplifying w2 = 5K-1 + 13xK-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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