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Simplifying (h + -3)(h + -7) = 0 Reorder the terms: (-3 + h)(h + -7) = 0 Reorder the terms: (-3 + h)(-7 + h) = 0 Multiply (-3 + h) * (-7 + h) (-3(-7 + h) + h(-7 + h)) = 0 ((-7 * -3 + h * -3) + h(-7 + h)) = 0 ((21 + -3h) + h(-7 + h)) = 0 (21 + -3h + (-7 * h + h * h)) = 0 (21 + -3h + (-7h + h2)) = 0 Combine like terms: -3h + -7h = -10h (21 + -10h + h2) = 0 Solving 21 + -10h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (3 + -1h)(7 + -1h) = 0Subproblem 1
Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Subproblem 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 = {3, 7}
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