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Simplifying 5h2 + 29h + 20 = 0 Reorder the terms: 20 + 29h + 5h2 = 0 Solving 20 + 29h + 5h2 = 0 Solving for variable 'h'. Factor a trinomial. (5 + h)(4 + 5h) = 0Subproblem 1
Set the factor '(5 + h)' equal to zero and attempt to solve: Simplifying 5 + h = 0 Solving 5 + h = 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 + h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + h = 0 + -5 h = 0 + -5 Combine like terms: 0 + -5 = -5 h = -5 Simplifying h = -5Subproblem 2
Set the factor '(4 + 5h)' equal to zero and attempt to solve: Simplifying 4 + 5h = 0 Solving 4 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5h = 0 + -4 5h = 0 + -4 Combine like terms: 0 + -4 = -4 5h = -4 Divide each side by '5'. h = -0.8 Simplifying h = -0.8Solution
h = {-5, -0.8}
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