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Simplifying 7h2 + -16hk + 4k2 = 0 Reorder the terms: -16hk + 7h2 + 4k2 = 0 Solving -16hk + 7h2 + 4k2 = 0 Solving for variable 'h'. Factor a trinomial. (h + -2k)(7h + -2k) = 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 '(7h + -2k)' equal to zero and attempt to solve: Simplifying 7h + -2k = 0 Solving 7h + -2k = 0 Move all terms containing h to the left, all other terms to the right. Add '2k' to each side of the equation. 7h + -2k + 2k = 0 + 2k Combine like terms: -2k + 2k = 0 7h + 0 = 0 + 2k 7h = 0 + 2k Remove the zero: 7h = 2k Divide each side by '7'. h = 0.2857142857k Simplifying h = 0.2857142857kSolution
h = {2k, 0.2857142857k}
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