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Simplifying (4h + -1)(8h + 9) = 0 Reorder the terms: (-1 + 4h)(8h + 9) = 0 Reorder the terms: (-1 + 4h)(9 + 8h) = 0 Multiply (-1 + 4h) * (9 + 8h) (-1(9 + 8h) + 4h * (9 + 8h)) = 0 ((9 * -1 + 8h * -1) + 4h * (9 + 8h)) = 0 ((-9 + -8h) + 4h * (9 + 8h)) = 0 (-9 + -8h + (9 * 4h + 8h * 4h)) = 0 (-9 + -8h + (36h + 32h2)) = 0 Combine like terms: -8h + 36h = 28h (-9 + 28h + 32h2) = 0 Solving -9 + 28h + 32h2 = 0 Solving for variable 'h'. Factor a trinomial. (-9 + -8h)(1 + -4h) = 0Subproblem 1
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 = -1.125Subproblem 2
Set the factor '(1 + -4h)' equal to zero and attempt to solve: Simplifying 1 + -4h = 0 Solving 1 + -4h = 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 + -4h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4h = 0 + -1 -4h = 0 + -1 Combine like terms: 0 + -1 = -1 -4h = -1 Divide each side by '-4'. h = 0.25 Simplifying h = 0.25Solution
h = {-1.125, 0.25}
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