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Simplifying h2 + 9879h = 1210000 Reorder the terms: 9879h + h2 = 1210000 Solving 9879h + h2 = 1210000 Solving for variable 'h'. Reorder the terms: -1210000 + 9879h + h2 = 1210000 + -1210000 Combine like terms: 1210000 + -1210000 = 0 -1210000 + 9879h + h2 = 0 Factor a trinomial. (-10000 + -1h)(121 + -1h) = 0Subproblem 1
Set the factor '(-10000 + -1h)' equal to zero and attempt to solve: Simplifying -10000 + -1h = 0 Solving -10000 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '10000' to each side of the equation. -10000 + 10000 + -1h = 0 + 10000 Combine like terms: -10000 + 10000 = 0 0 + -1h = 0 + 10000 -1h = 0 + 10000 Combine like terms: 0 + 10000 = 10000 -1h = 10000 Divide each side by '-1'. h = -10000 Simplifying h = -10000Subproblem 2
Set the factor '(121 + -1h)' equal to zero and attempt to solve: Simplifying 121 + -1h = 0 Solving 121 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + -1h = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -1h = 0 + -121 -1h = 0 + -121 Combine like terms: 0 + -121 = -121 -1h = -121 Divide each side by '-1'. h = 121 Simplifying h = 121Solution
h = {-10000, 121}
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