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Simplifying 100 = -1k2 + -20k Reorder the terms: 100 = -20k + -1k2 Solving 100 = -20k + -1k2 Solving for variable 'k'. Reorder the terms: 100 + 20k + k2 = -20k + 20k + -1k2 + k2 Combine like terms: -20k + 20k = 0 100 + 20k + k2 = 0 + -1k2 + k2 100 + 20k + k2 = -1k2 + k2 Combine like terms: -1k2 + k2 = 0 100 + 20k + k2 = 0 Factor a trinomial. (10 + k)(10 + k) = 0Subproblem 1
Set the factor '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Simplifying k = -10Subproblem 2
Set the factor '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Simplifying k = -10Solution
k = {-10, -10}
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