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Simplifying h * h + 5h + -14 = 0 Multiply h * h h2 + 5h + -14 = 0 Reorder the terms: -14 + 5h + h2 = 0 Solving -14 + 5h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-7 + -1h)(2 + -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 '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {-7, 2}
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