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Simplifying 16h2 + -9hk + -25k2 = 0 Reorder the terms: -9hk + 16h2 + -25k2 = 0 Solving -9hk + 16h2 + -25k2 = 0 Solving for variable 'h'. Factor a trinomial. (16h + -25k)(h + k) = 0Subproblem 1
Set the factor '(16h + -25k)' equal to zero and attempt to solve: Simplifying 16h + -25k = 0 Solving 16h + -25k = 0 Move all terms containing h to the left, all other terms to the right. Add '25k' to each side of the equation. 16h + -25k + 25k = 0 + 25k Combine like terms: -25k + 25k = 0 16h + 0 = 0 + 25k 16h = 0 + 25k Remove the zero: 16h = 25k Divide each side by '16'. h = 1.5625k Simplifying h = 1.5625kSubproblem 2
Set the factor '(h + k)' equal to zero and attempt to solve: Simplifying h + k = 0 Solving h + k = 0 Move all terms containing h to the left, all other terms to the right. Add '-1k' to each side of the equation. h + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 h + 0 = 0 + -1k h = 0 + -1k Remove the zero: h = -1k Simplifying h = -1kSolution
h = {1.5625k, -1k}
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