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Simplifying 0 = 3h2 + 16h + -3584 Reorder the terms: 0 = -3584 + 16h + 3h2 Solving 0 = -3584 + 16h + 3h2 Solving for variable 'h'. Combine like terms: 0 + 3584 = 3584 3584 + -16h + -3h2 = -3584 + 16h + 3h2 + 3584 + -16h + -3h2 Reorder the terms: 3584 + -16h + -3h2 = -3584 + 3584 + 16h + -16h + 3h2 + -3h2 Combine like terms: -3584 + 3584 = 0 3584 + -16h + -3h2 = 0 + 16h + -16h + 3h2 + -3h2 3584 + -16h + -3h2 = 16h + -16h + 3h2 + -3h2 Combine like terms: 16h + -16h = 0 3584 + -16h + -3h2 = 0 + 3h2 + -3h2 3584 + -16h + -3h2 = 3h2 + -3h2 Combine like terms: 3h2 + -3h2 = 0 3584 + -16h + -3h2 = 0 Factor a trinomial. (32 + -1h)(112 + 3h) = 0Subproblem 1
Set the factor '(32 + -1h)' equal to zero and attempt to solve: Simplifying 32 + -1h = 0 Solving 32 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1h = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1h = 0 + -32 -1h = 0 + -32 Combine like terms: 0 + -32 = -32 -1h = -32 Divide each side by '-1'. h = 32 Simplifying h = 32Subproblem 2
Set the factor '(112 + 3h)' equal to zero and attempt to solve: Simplifying 112 + 3h = 0 Solving 112 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 3h = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 3h = 0 + -112 3h = 0 + -112 Combine like terms: 0 + -112 = -112 3h = -112 Divide each side by '3'. h = -37.33333333 Simplifying h = -37.33333333Solution
h = {32, -37.33333333}
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