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Simplifying 2h2 + 7hk + -15k2 = 0 Reorder the terms: 7hk + 2h2 + -15k2 = 0 Solving 7hk + 2h2 + -15k2 = 0 Solving for variable 'h'. Factor a trinomial. (2h + -3k)(h + 5k) = 0Subproblem 1
Set the factor '(2h + -3k)' equal to zero and attempt to solve: Simplifying 2h + -3k = 0 Solving 2h + -3k = 0 Move all terms containing h to the left, all other terms to the right. Add '3k' to each side of the equation. 2h + -3k + 3k = 0 + 3k Combine like terms: -3k + 3k = 0 2h + 0 = 0 + 3k 2h = 0 + 3k Remove the zero: 2h = 3k Divide each side by '2'. h = 1.5k Simplifying h = 1.5kSubproblem 2
Set the factor '(h + 5k)' equal to zero and attempt to solve: Simplifying h + 5k = 0 Solving h + 5k = 0 Move all terms containing h to the left, all other terms to the right. Add '-5k' to each side of the equation. h + 5k + -5k = 0 + -5k Combine like terms: 5k + -5k = 0 h + 0 = 0 + -5k h = 0 + -5k Remove the zero: h = -5k Simplifying h = -5kSolution
h = {1.5k, -5k}
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