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Simplifying h2 + 24h = 3456 Reorder the terms: 24h + h2 = 3456 Solving 24h + h2 = 3456 Solving for variable 'h'. Reorder the terms: -3456 + 24h + h2 = 3456 + -3456 Combine like terms: 3456 + -3456 = 0 -3456 + 24h + h2 = 0 Factor a trinomial. (-72 + -1h)(48 + -1h) = 0Subproblem 1
Set the factor '(-72 + -1h)' equal to zero and attempt to solve: Simplifying -72 + -1h = 0 Solving -72 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -1h = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -1h = 0 + 72 -1h = 0 + 72 Combine like terms: 0 + 72 = 72 -1h = 72 Divide each side by '-1'. h = -72 Simplifying h = -72Subproblem 2
Set the factor '(48 + -1h)' equal to zero and attempt to solve: Simplifying 48 + -1h = 0 Solving 48 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1h = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1h = 0 + -48 -1h = 0 + -48 Combine like terms: 0 + -48 = -48 -1h = -48 Divide each side by '-1'. h = 48 Simplifying h = 48Solution
h = {-72, 48}
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