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Simplifying (h + -4)(h + -9) = 0 Reorder the terms: (-4 + h)(h + -9) = 0 Reorder the terms: (-4 + h)(-9 + h) = 0 Multiply (-4 + h) * (-9 + h) (-4(-9 + h) + h(-9 + h)) = 0 ((-9 * -4 + h * -4) + h(-9 + h)) = 0 ((36 + -4h) + h(-9 + h)) = 0 (36 + -4h + (-9 * h + h * h)) = 0 (36 + -4h + (-9h + h2)) = 0 Combine like terms: -4h + -9h = -13h (36 + -13h + h2) = 0 Solving 36 + -13h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (4 + -1h)(9 + -1h) = 0Subproblem 1
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4Subproblem 2
Set the factor '(9 + -1h)' equal to zero and attempt to solve: Simplifying 9 + -1h = 0 Solving 9 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1h = 0 + -9 -1h = 0 + -9 Combine like terms: 0 + -9 = -9 -1h = -9 Divide each side by '-1'. h = 9 Simplifying h = 9Solution
h = {4, 9}
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