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Simplifying K4 + 8k2 + -9 = 0 Reorder the terms: -9 + K4 + 8k2 = 0 Solving -9 + K4 + 8k2 = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '9' to each side of the equation. -9 + K4 + 9 + 8k2 = 0 + 9 Reorder the terms: -9 + 9 + K4 + 8k2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + K4 + 8k2 = 0 + 9 K4 + 8k2 = 0 + 9 Combine like terms: 0 + 9 = 9 K4 + 8k2 = 9 Add '-8k2' to each side of the equation. K4 + 8k2 + -8k2 = 9 + -8k2 Combine like terms: 8k2 + -8k2 = 0 K4 + 0 = 9 + -8k2 K4 = 9 + -8k2 Simplifying K4 = 9 + -8k2 Reorder the terms: -9 + K4 + 8k2 = 9 + -8k2 + -9 + 8k2 Reorder the terms: -9 + K4 + 8k2 = 9 + -9 + -8k2 + 8k2 Combine like terms: 9 + -9 = 0 -9 + K4 + 8k2 = 0 + -8k2 + 8k2 -9 + K4 + 8k2 = -8k2 + 8k2 Combine like terms: -8k2 + 8k2 = 0 -9 + K4 + 8k2 = 0 Factor a trinomial. (K2 + -8k)(K2 + -1k) = 0Subproblem 1
Set the factor '(K2 + -8k)' equal to zero and attempt to solve: Simplifying K2 + -8k = 0 Solving K2 + -8k = 0 Move all terms containing K to the left, all other terms to the right. Add '8k' to each side of the equation. K2 + -8k + 8k = 0 + 8k Combine like terms: -8k + 8k = 0 K2 + 0 = 0 + 8k K2 = 0 + 8k Remove the zero: K2 = 8k Simplifying K2 = 8k 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 '(K2 + -1k)' equal to zero and attempt to solve: Simplifying K2 + -1k = 0 Solving K2 + -1k = 0 Move all terms containing K to the left, all other terms to the right. Add 'k' to each side of the equation. K2 + -1k + k = 0 + k Combine like terms: -1k + k = 0 K2 + 0 = 0 + k K2 = 0 + k Remove the zero: K2 = k Simplifying K2 = k 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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