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Simplifying h(h) + 2h = 35 Multiply h * h h2 + 2h = 35 Reorder the terms: 2h + h2 = 35 Solving 2h + h2 = 35 Solving for variable 'h'. Reorder the terms: -35 + 2h + h2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 2h + h2 = 0 Factor a trinomial. (-7 + -1h)(5 + -1h) = 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 '(5 + -1h)' equal to zero and attempt to solve: Simplifying 5 + -1h = 0 Solving 5 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1h = 0 + -5 -1h = 0 + -5 Combine like terms: 0 + -5 = -5 -1h = -5 Divide each side by '-1'. h = 5 Simplifying h = 5Solution
h = {-7, 5}
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