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Simplifying h(4h + 5) = 84 Reorder the terms: h(5 + 4h) = 84 (5 * h + 4h * h) = 84 (5h + 4h2) = 84 Solving 5h + 4h2 = 84 Solving for variable 'h'. Reorder the terms: -84 + 5h + 4h2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 5h + 4h2 = 0 Factor a trinomial. (-21 + -4h)(4 + -1h) = 0Subproblem 1
Set the factor '(-21 + -4h)' equal to zero and attempt to solve: Simplifying -21 + -4h = 0 Solving -21 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4h = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4h = 0 + 21 -4h = 0 + 21 Combine like terms: 0 + 21 = 21 -4h = 21 Divide each side by '-4'. h = -5.25 Simplifying h = -5.25Subproblem 2
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 = 4Solution
h = {-5.25, 4}
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