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Simplifying h2 + 6319h + -518400 = 0 Reorder the terms: -518400 + 6319h + h2 = 0 Solving -518400 + 6319h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-6400 + -1h)(81 + -1h) = 0Subproblem 1
Set the factor '(-6400 + -1h)' equal to zero and attempt to solve: Simplifying -6400 + -1h = 0 Solving -6400 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '6400' to each side of the equation. -6400 + 6400 + -1h = 0 + 6400 Combine like terms: -6400 + 6400 = 0 0 + -1h = 0 + 6400 -1h = 0 + 6400 Combine like terms: 0 + 6400 = 6400 -1h = 6400 Divide each side by '-1'. h = -6400 Simplifying h = -6400Subproblem 2
Set the factor '(81 + -1h)' equal to zero and attempt to solve: Simplifying 81 + -1h = 0 Solving 81 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -1h = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1h = 0 + -81 -1h = 0 + -81 Combine like terms: 0 + -81 = -81 -1h = -81 Divide each side by '-1'. h = 81 Simplifying h = 81Solution
h = {-6400, 81}
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