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Simplifying (h + -7)(h + -2) = 0 Reorder the terms: (-7 + h)(h + -2) = 0 Reorder the terms: (-7 + h)(-2 + h) = 0 Multiply (-7 + h) * (-2 + h) (-7(-2 + h) + h(-2 + h)) = 0 ((-2 * -7 + h * -7) + h(-2 + h)) = 0 ((14 + -7h) + h(-2 + h)) = 0 (14 + -7h + (-2 * h + h * h)) = 0 (14 + -7h + (-2h + h2)) = 0 Combine like terms: -7h + -2h = -9h (14 + -9h + h2) = 0 Solving 14 + -9h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (2 + -1h)(7 + -1h) = 0Subproblem 1
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 = 2Subproblem 2
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 = 7Solution
h = {2, 7}
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