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Simplifying 5h2 + 24h + -5 = 0 Reorder the terms: -5 + 24h + 5h2 = 0 Solving -5 + 24h + 5h2 = 0 Solving for variable 'h'. Factor a trinomial. (-5 + -1h)(1 + -5h) = 0Subproblem 1
Set the factor '(-5 + -1h)' equal to zero and attempt to solve: Simplifying -5 + -1h = 0 Solving -5 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1h = 0 + 5 -1h = 0 + 5 Combine like terms: 0 + 5 = 5 -1h = 5 Divide each side by '-1'. h = -5 Simplifying h = -5Subproblem 2
Set the factor '(1 + -5h)' equal to zero and attempt to solve: Simplifying 1 + -5h = 0 Solving 1 + -5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5h = 0 + -1 -5h = 0 + -1 Combine like terms: 0 + -1 = -1 -5h = -1 Divide each side by '-5'. h = 0.2 Simplifying h = 0.2Solution
h = {-5, 0.2}
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