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Simplifying 2h2 + 19h + -10 = 0 Reorder the terms: -10 + 19h + 2h2 = 0 Solving -10 + 19h + 2h2 = 0 Solving for variable 'h'. Factor a trinomial. (-10 + -1h)(1 + -2h) = 0Subproblem 1
Set the factor '(-10 + -1h)' equal to zero and attempt to solve: Simplifying -10 + -1h = 0 Solving -10 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1h = 0 + 10 -1h = 0 + 10 Combine like terms: 0 + 10 = 10 -1h = 10 Divide each side by '-1'. h = -10 Simplifying h = -10Subproblem 2
Set the factor '(1 + -2h)' equal to zero and attempt to solve: Simplifying 1 + -2h = 0 Solving 1 + -2h = 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 + -2h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2h = 0 + -1 -2h = 0 + -1 Combine like terms: 0 + -1 = -1 -2h = -1 Divide each side by '-2'. h = 0.5 Simplifying h = 0.5Solution
h = {-10, 0.5}
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