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