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Simplifying 8k2 + -2kh + -3h2 = 0 Reorder the terms: -2hk + -3h2 + 8k2 = 0 Solving -2hk + -3h2 + 8k2 = 0 Solving for variable 'h'. Factor a trinomial. (-1h + -2k)(3h + -4k) = 0Subproblem 1
Set the factor '(-1h + -2k)' equal to zero and attempt to solve: Simplifying -1h + -2k = 0 Solving -1h + -2k = 0 Move all terms containing h to the left, all other terms to the right. Add '2k' to each side of the equation. -1h + -2k + 2k = 0 + 2k Combine like terms: -2k + 2k = 0 -1h + 0 = 0 + 2k -1h = 0 + 2k Remove the zero: -1h = 2k Divide each side by '-1'. h = -2k Simplifying h = -2kSubproblem 2
Set the factor '(3h + -4k)' equal to zero and attempt to solve: Simplifying 3h + -4k = 0 Solving 3h + -4k = 0 Move all terms containing h to the left, all other terms to the right. Add '4k' to each side of the equation. 3h + -4k + 4k = 0 + 4k Combine like terms: -4k + 4k = 0 3h + 0 = 0 + 4k 3h = 0 + 4k Remove the zero: 3h = 4k Divide each side by '3'. h = 1.333333333k Simplifying h = 1.333333333kSolution
h = {-2k, 1.333333333k}
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