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Simplifying K2 + 4K + 4 = 25 Reorder the terms: 4 + 4K + K2 = 25 Solving 4 + 4K + K2 = 25 Solving for variable 'K'. Reorder the terms: 4 + -25 + 4K + K2 = 25 + -25 Combine like terms: 4 + -25 = -21 -21 + 4K + K2 = 25 + -25 Combine like terms: 25 + -25 = 0 -21 + 4K + K2 = 0 Factor a trinomial. (-7 + -1K)(3 + -1K) = 0Subproblem 1
Set the factor '(-7 + -1K)' equal to zero and attempt to solve: Simplifying -7 + -1K = 0 Solving -7 + -1K = 0 Move all terms containing K to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1K = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1K = 0 + 7 -1K = 0 + 7 Combine like terms: 0 + 7 = 7 -1K = 7 Divide each side by '-1'. K = -7 Simplifying K = -7Subproblem 2
Set the factor '(3 + -1K)' equal to zero and attempt to solve: Simplifying 3 + -1K = 0 Solving 3 + -1K = 0 Move all terms containing K to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1K = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1K = 0 + -3 -1K = 0 + -3 Combine like terms: 0 + -3 = -3 -1K = -3 Divide each side by '-1'. K = 3 Simplifying K = 3Solution
K = {-7, 3}
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