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Simplifying 3h2 + 7hk + 2k2 = 0 Reorder the terms: 7hk + 3h2 + 2k2 = 0 Solving 7hk + 3h2 + 2k2 = 0 Solving for variable 'h'. Factor a trinomial. (3h + k)(h + 2k) = 0Subproblem 1
Set the factor '(3h + k)' equal to zero and attempt to solve: Simplifying 3h + k = 0 Solving 3h + k = 0 Move all terms containing h to the left, all other terms to the right. Add '-1k' to each side of the equation. 3h + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 3h + 0 = 0 + -1k 3h = 0 + -1k Remove the zero: 3h = -1k Divide each side by '3'. h = -0.3333333333k Simplifying h = -0.3333333333kSubproblem 2
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 = -2kSolution
h = {-0.3333333333k, -2k}
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