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Simplifying 6h2 + 17hk + 10k2 = 0 Reorder the terms: 17hk + 6h2 + 10k2 = 0 Solving 17hk + 6h2 + 10k2 = 0 Solving for variable 'h'. Factor a trinomial. (6h + 5k)(h + 2k) = 0Subproblem 1
Set the factor '(6h + 5k)' equal to zero and attempt to solve: Simplifying 6h + 5k = 0 Solving 6h + 5k = 0 Move all terms containing h to the left, all other terms to the right. Add '-5k' to each side of the equation. 6h + 5k + -5k = 0 + -5k Combine like terms: 5k + -5k = 0 6h + 0 = 0 + -5k 6h = 0 + -5k Remove the zero: 6h = -5k Divide each side by '6'. h = -0.8333333333k Simplifying h = -0.8333333333kSubproblem 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 = {-0.8333333333k, -2k}
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