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Simplifying 100h2 + 20h + 1 = 0 Reorder the terms: 1 + 20h + 100h2 = 0 Solving 1 + 20h + 100h2 = 0 Solving for variable 'h'. Factor a trinomial. (1 + 10h)(1 + 10h) = 0Subproblem 1
Set the factor '(1 + 10h)' equal to zero and attempt to solve: Simplifying 1 + 10h = 0 Solving 1 + 10h = 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 + 10h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10h = 0 + -1 10h = 0 + -1 Combine like terms: 0 + -1 = -1 10h = -1 Divide each side by '10'. h = -0.1 Simplifying h = -0.1Subproblem 2
Set the factor '(1 + 10h)' equal to zero and attempt to solve: Simplifying 1 + 10h = 0 Solving 1 + 10h = 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 + 10h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10h = 0 + -1 10h = 0 + -1 Combine like terms: 0 + -1 = -1 10h = -1 Divide each side by '10'. h = -0.1 Simplifying h = -0.1Solution
h = {-0.1, -0.1}
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