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Simplifying -1h2 + 6h = -7 Reorder the terms: 6h + -1h2 = -7 Solving 6h + -1h2 = -7 Solving for variable 'h'. Reorder the terms: 7 + 6h + -1h2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 6h + -1h2 = 0 Factor a trinomial. (7 + -1h)(1 + h) = 0Subproblem 1
Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve: Simplifying 1 + h = 0 Solving 1 + h = 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 + h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + h = 0 + -1 h = 0 + -1 Combine like terms: 0 + -1 = -1 h = -1 Simplifying h = -1Solution
h = {7, -1}
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