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Simplifying h2 + -1hk + -2k2 = 0 Reorder the terms: -1hk + h2 + -2k2 = 0 Solving -1hk + h2 + -2k2 = 0 Solving for variable 'h'. Factor a trinomial. (h + -2k)(h + k) = 0Subproblem 1
Set the factor '(h + -2k)' equal to zero and attempt to solve: Simplifying h + -2k = 0 Solving h + -2k = 0 Move all terms containing h to the left, all other terms to the right. Add '2k' to each side of the equation. h + -2k + 2k = 0 + 2k Combine like terms: -2k + 2k = 0 h + 0 = 0 + 2k h = 0 + 2k Remove the zero: h = 2k Simplifying h = 2kSubproblem 2
Set the factor '(h + k)' equal to zero and attempt to solve: Simplifying h + k = 0 Solving h + k = 0 Move all terms containing h to the left, all other terms to the right. Add '-1k' to each side of the equation. h + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 h + 0 = 0 + -1k h = 0 + -1k Remove the zero: h = -1k Simplifying h = -1kSolution
h = {2k, -1k}
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