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Simplifying (k + 7)(k + -7) = 0 Reorder the terms: (7 + k)(k + -7) = 0 Reorder the terms: (7 + k)(-7 + k) = 0 Multiply (7 + k) * (-7 + k) (7(-7 + k) + k(-7 + k)) = 0 ((-7 * 7 + k * 7) + k(-7 + k)) = 0 ((-49 + 7k) + k(-7 + k)) = 0 (-49 + 7k + (-7 * k + k * k)) = 0 (-49 + 7k + (-7k + k2)) = 0 Combine like terms: 7k + -7k = 0 (-49 + 0 + k2) = 0 (-49 + k2) = 0 Solving -49 + k2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + k2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + k2 = 0 + 49 k2 = 0 + 49 Combine like terms: 0 + 49 = 49 k2 = 49 Simplifying k2 = 49 Take the square root of each side: k = {-7, 7}
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