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Simplifying h2 + -9hk + -36k2 = 0 Reorder the terms: -9hk + h2 + -36k2 = 0 Solving -9hk + h2 + -36k2 = 0 Solving for variable 'h'. Factor a trinomial. (h + -12k)(h + 3k) = 0Subproblem 1
Set the factor '(h + -12k)' equal to zero and attempt to solve: Simplifying h + -12k = 0 Solving h + -12k = 0 Move all terms containing h to the left, all other terms to the right. Add '12k' to each side of the equation. h + -12k + 12k = 0 + 12k Combine like terms: -12k + 12k = 0 h + 0 = 0 + 12k h = 0 + 12k Remove the zero: h = 12k Simplifying h = 12kSubproblem 2
Set the factor '(h + 3k)' equal to zero and attempt to solve: Simplifying h + 3k = 0 Solving h + 3k = 0 Move all terms containing h to the left, all other terms to the right. Add '-3k' to each side of the equation. h + 3k + -3k = 0 + -3k Combine like terms: 3k + -3k = 0 h + 0 = 0 + -3k h = 0 + -3k Remove the zero: h = -3k Simplifying h = -3kSolution
h = {12k, -3k}
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