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