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Simplifying (8h + -9)(5h + 9) = 0 Reorder the terms: (-9 + 8h)(5h + 9) = 0 Reorder the terms: (-9 + 8h)(9 + 5h) = 0 Multiply (-9 + 8h) * (9 + 5h) (-9(9 + 5h) + 8h * (9 + 5h)) = 0 ((9 * -9 + 5h * -9) + 8h * (9 + 5h)) = 0 ((-81 + -45h) + 8h * (9 + 5h)) = 0 (-81 + -45h + (9 * 8h + 5h * 8h)) = 0 (-81 + -45h + (72h + 40h2)) = 0 Combine like terms: -45h + 72h = 27h (-81 + 27h + 40h2) = 0 Solving -81 + 27h + 40h2 = 0 Solving for variable 'h'. Factor a trinomial. (-9 + -5h)(9 + -8h) = 0Subproblem 1
Set the factor '(-9 + -5h)' equal to zero and attempt to solve: Simplifying -9 + -5h = 0 Solving -9 + -5h = 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 + -5h = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5h = 0 + 9 -5h = 0 + 9 Combine like terms: 0 + 9 = 9 -5h = 9 Divide each side by '-5'. h = -1.8 Simplifying h = -1.8Subproblem 2
Set the factor '(9 + -8h)' equal to zero and attempt to solve: Simplifying 9 + -8h = 0 Solving 9 + -8h = 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 + -8h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8h = 0 + -9 -8h = 0 + -9 Combine like terms: 0 + -9 = -9 -8h = -9 Divide each side by '-8'. h = 1.125 Simplifying h = 1.125Solution
h = {-1.8, 1.125}
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