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Simplifying 5h2 = 4 + 19h Solving 5h2 = 4 + 19h Solving for variable 'h'. Reorder the terms: -4 + -19h + 5h2 = 4 + 19h + -4 + -19h Reorder the terms: -4 + -19h + 5h2 = 4 + -4 + 19h + -19h Combine like terms: 4 + -4 = 0 -4 + -19h + 5h2 = 0 + 19h + -19h -4 + -19h + 5h2 = 19h + -19h Combine like terms: 19h + -19h = 0 -4 + -19h + 5h2 = 0 Factor a trinomial. (-1 + -5h)(4 + -1h) = 0Subproblem 1
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 = -0.2Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 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 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4Solution
h = {-0.2, 4}
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