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Simplifying (h + -1)(h + 5) = 0 Reorder the terms: (-1 + h)(h + 5) = 0 Reorder the terms: (-1 + h)(5 + h) = 0 Multiply (-1 + h) * (5 + h) (-1(5 + h) + h(5 + h)) = 0 ((5 * -1 + h * -1) + h(5 + h)) = 0 ((-5 + -1h) + h(5 + h)) = 0 (-5 + -1h + (5 * h + h * h)) = 0 (-5 + -1h + (5h + h2)) = 0 Combine like terms: -1h + 5h = 4h (-5 + 4h + h2) = 0 Solving -5 + 4h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-5 + -1h)(1 + -1h) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Solution
h = {-5, 1}
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